8th Class Mathematics Factorisation Question Bank

done Factorization Total Questions - 30

• question_answer1)
  The factors of \[(\mathbf{1}-\mathbf{6z}-\mathbf{9}{{\mathbf{z}}^{2}})\] are
  A)
   \[\left( 1+3z \right)\left( 1-3z \right)\]      done clear
  B)
   \[{{\left( z+3 \right)}^{2}}\]    done clear
  C)
   \[{{\left( 3z-1 \right)}^{2}}\] done clear
  D)
   \[{{\left( z-3 \right)}^{2}}\] done clear
  View Solution play_arrow

• question_answer2)
  Factorize \[{{\mathbf{a}}^{\mathbf{3}}}-\mathbf{2}\sqrt{\mathbf{2}}{{\mathbf{b}}^{\mathbf{3}}}\]is
  A)
   \[(a+\sqrt{2}b)({{a}^{2}}-\sqrt{2}ab+2{{b}^{2}})\]              done clear
  B)
   \[(a-\sqrt{2}b)({{a}^{2}}+\sqrt{2}ab+2{{b}^{2}})\] done clear
  C)
   \[(a-\sqrt{2}b)({{a}^{2}}-\sqrt{2}ab+2{{b}^{2}})\]              done clear
  D)
   \[(a-\sqrt{2}b)({{a}^{2}}+\sqrt{2}ab+{{b}^{2}})\] done clear
  View Solution play_arrow

• question_answer3)
  Factorize \[\mathbf{16}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{25}{{\mathbf{y}}^{\mathbf{2}}}\]
  A)
   \[{{(4x-5y)}^{2}}\]                  done clear
  B)
   \[{{(4x+5y)}^{2}}\]        done clear
  C)
   \[\frac{4x+5y}{4x-5y}\]                        done clear
  D)
   \[\left( 4x+5y \right)(4x-5y)\] done clear
  View Solution play_arrow

• question_answer4)
  Factorize \[\mathbf{36}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{y}-\mathbf{60}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{yz}\]
  A)
   \[12{{x}^{2}}y\left( 3x-5z \right)\]         done clear
  B)
   \[12{{x}^{2}}y(3x+5z)\] done clear
  C)
   \[12{{x}^{2}}\left( 5z-3x \right)\]                          done clear
  D)
   \[6{{x}^{2}}y\left( 6x-2z \right)\] done clear
  View Solution play_arrow

• question_answer5)
  Solve \[{{\left( \mathbf{a}+\mathbf{b} \right)}^{\mathbf{2}}}-{{\left( \mathbf{a}-\mathbf{b} \right)}^{\mathbf{2}}}\]
  A)
   \[2ab\]                          done clear
  B)
   \[{{a}^{2}}+{{b}^{2}}\]          done clear
  C)
   \[2{{a}^{2}}+2{{b}^{2}}\]              done clear
  D)
   \[4ab\] done clear
  View Solution play_arrow

• question_answer6)
  Which of the following is equal to \[{{\mathbf{x}}^{\mathbf{3}}}\left( \mathbf{a}-\mathbf{2b} \right)+{{\mathbf{x}}^{\mathbf{2}}}\left( \mathbf{a}-\mathbf{2b} \right).\]
  A)
   \[{{x}^{2}}(a-2b)(x+1)\]  done clear
  B)
   \[\left( {{x}^{2}}-1 \right)\left( a-2b \right)\] done clear
  C)
   \[\left( {{x}^{2}}+1 \right)\left( a-2b \right)\left( x+1 \right)\]                      done clear
  D)
   \[x\left( a-2b \right)\left( x-1 \right)\] done clear
  View Solution play_arrow

• question_answer7)
  The factors of \[{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{2xy}-\mathbf{15}{{\mathbf{y}}^{\mathbf{2}}}\]are
  A)
   \[\left( x-5y \right)\left( x-3y \right)\]          done clear
  B)
   \[\left( x+5y \right)\left( x+3y \right)\] done clear
  C)
   \[\left( x-5y \right)\left( x+3y \right)\]           done clear
  D)
   \[\left( x+5y \right)\left( x-3y \right)\] done clear
  View Solution play_arrow

• question_answer8)
  Factorization: \[{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{3x}-\mathbf{54}\]
  A)
   \[\left( x-9 \right)\left( x-6 \right)\] done clear
  B)
   \[\left( x-9 \right)\left( x+6 \right)\] done clear
  C)
   \[\left( x+9 \right)\left( x+6 \right)\]         done clear
  D)
   \[\left( x-4 \right)\left( x+3 \right)\] done clear
  View Solution play_arrow

• question_answer9)
  Factorization: \[\mathbf{6}{{\mathbf{x}}^{\mathbf{2}}}+11\mathbf{x}-\mathbf{10}\]
  A)
   \[\left( 2x+5 \right)\left( 3x-2 \right)\]        done clear
  B)
   \[\left( 2x+5 \right)\left( 2x+2 \right)\] done clear
  C)
   \[\left( 2x+5 \right)\]                  done clear
  D)
   \[\left( 2x+2 \right)\left( x-2 \right)\] done clear
  View Solution play_arrow

• question_answer10)
  Factorization: \[2{{x}^{2}}+5x-3\]
  A)
   \[\left( x+3 \right)\left( 2x+1 \right)\]        done clear
  B)
   \[\left( x-3 \right)\left( 2x-1 \right)\] done clear
  C)
   \[\left( x+2 \right)(x-1)\]              done clear
  D)
   \[\left( x+3 \right)(2x-1)\] done clear
  View Solution play_arrow

• question_answer11)
  Factorization: \[\mathbf{7}-\mathbf{12x}-\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}\]
  A)
   \[\left( 1-2x \right)\left( 7+2x \right)\]        done clear
  B)
   \[\left( 1-2x \right)\left( 7-2x \right)\] done clear
  C)
   \[\left( 1-x \right)\left( 7+x \right)\]         done clear
  D)
   \[\left( 1+2x \right)\left( 4+x \right)\] done clear
  View Solution play_arrow

• question_answer12)
  Factorization: \[\mathbf{1}-\mathbf{18z}-\mathbf{63}{{\mathbf{z}}^{\mathbf{2}}}\]
  A)
   \[\left( 3-21z \right)\left( 1+3z \right)\]        done clear
  B)
   \[\left( 1-21z \right)\left( 1+3z \right)\] done clear
  C)
   \[\left( 2+21z \right)\left( 1+3z \right)\]      done clear
  D)
   \[\left( 1-7z \right)\left( 1+2z \right)\] done clear
  View Solution play_arrow

• question_answer13)
  Factorization: \[{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{17x}-\mathbf{84}\]
  A)
   \[\left( x-3 \right)\left( x+4 \right)\]            done clear
  B)
   \[\left( x-21 \right)\left( x+4 \right)\] done clear
  C)
   \[\left( x-21 \right)\left( x-4 \right)\]            done clear
  D)
   \[\left( x+21 \right)\left( x+4 \right)\] done clear
  View Solution play_arrow

• question_answer14)
  Factorization: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{4x}-\mathbf{7}\]
  A)
   \[\left( 3x+7 \right)\left( x+1 \right)\]        done clear
  B)
   \[\left( 3x-7 \right)\left( x-1 \right)\] done clear
  C)
   \[\left( 3x-7 \right)\left( x+1 \right)\]  done clear
  D)
   \[\left( 3x-5 \right)\left( x+2 \right)\] done clear
  View Solution play_arrow

• question_answer15)
  Factorization: \[\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{7x}-\mathbf{30}\]
  A)
   \[\left( 2x+5 \right)\left( x-6 \right)\]  done clear
  B)
   \[\left( 2x+5 \right)\left( x+6 \right)\] done clear
  C)
   \[\left( 2x-5 \right)\left( x-6 \right)\]      done clear
  D)
    \[\left( 2x+2 \right)\left( x-3 \right)\] done clear
  View Solution play_arrow

• question_answer16)
  Factorization: \[\mathbf{10}+\mathbf{3x}-{{\mathbf{x}}^{\mathbf{2}}}\]
  A)
   \[\left( 2+x \right)\left( 5-x \right)\]  done clear
  B)
   \[\left( 2+x \right)\left( 5+x \right)\] done clear
  C)
   \[\left( 2+x \right)\left( 3-x \right)\]            done clear
  D)
   \[\left( 2+3x \right)\left( 2-x \right)\] done clear
  View Solution play_arrow

• question_answer17)
  Factorization: \[~{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{3ax}-\mathbf{88}{{\mathbf{a}}^{\mathbf{2}}}\]
  A)
   \[\left( x-11a \right)\left( x-8a \right)\]        done clear
  B)
   \[\left( x-11a \right)\left( x+8a \right)\] done clear
  C)
   \[\left( x+11a \right)\left( x+8a \right)\]     done clear
  D)
   \[\left( x-9a \right)\left( x+4a \right)\] done clear
  View Solution play_arrow

• question_answer18)
  Factorization: \[2{{x}^{3}}+5x-12x{{y}^{2}}\]
  A)
   \[x\left( x+2y \right)\left( 2x+3y \right)\]                       done clear
  B)
   \[x~\left( x+4y \right)\left( 2x-3y \right)\] done clear
  C)
   \[~x\left( x-4y \right)\left( 2x-3y \right)\]                        done clear
  D)
   \[x\left( x+2y \right)\left( x-3y \right)\] done clear
  View Solution play_arrow

• question_answer19)
  Factorization: \[{{x}^{2}}{{y}^{2}}-12xy-45\]
  A)
   \[\left( xy-15 \right)\left( xy+3 \right)\]       done clear
  B)
   \[\left( xy+15 \right)\left( xy+3 \right)\] done clear
  C)
   \[\left( xy-15 \right)\left( xy-3 \right)\]    done clear
  D)
   \[\left( x-15 \right)\left( y+3 \right)\] done clear
  View Solution play_arrow

• question_answer20)
  The degree of \[-3{{x}^{3}}+5{{x}^{2}}+4\] is
  A)
   1                                 done clear
  B)
   2             done clear
  C)
   3  done clear
  D)
   4 done clear
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• question_answer21)
  The zero of \[\mathbf{x}+\mathbf{2}\]is
  A)
   0                                 done clear
  B)
   2              done clear
  C)
   \[-\]2   done clear
  D)
   1 done clear
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• question_answer22)
  The expanded form of \[\left( \mathbf{x}+\mathbf{y} \right)\left( \mathbf{x}-\mathbf{y} \right)\] is a
  A)
   monomial        done clear
  B)
   binomial done clear
  C)
   trinomial                       done clear
  D)
   none of these done clear
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• question_answer23)
  Find the degree of \[{{\left( {{x}^{2}}-x \right)}^{2}}\]
  A)
   3                                 done clear
  B)
   4    done clear
  C)
   5                     done clear
  D)
   6 done clear
  View Solution play_arrow

• question_answer24)
  If \[\mathbf{a}=\mathbf{2},\mathbf{b}=\mathbf{1}\] then \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{2ab}=\]
  A)
   9     done clear
  B)
   4             done clear
  C)
   2                     done clear
  D)
   1 done clear
  View Solution play_arrow

• question_answer25)
  \[(\mathbf{x}+\mathbf{a})(\mathbf{x}-\mathbf{b})\]is given by
  A)
   \[{{x}^{2}}-\left( a+b \right)x+ab\]  done clear
  B)
   \[{{x}^{2}}-\left( a-b \right)x+ab\] done clear
  C)
   \[{{x}^{2}}-\left( a-b \right)x+ab\]                        done clear
  D)
   \[~{{x}^{2}}+\left( a-b \right)x-ab\] done clear
  View Solution play_arrow

• question_answer26)
  Factorize \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2-2x-\frac{2}{x}\]
  A)
   \[\left( x+\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\] done clear
  B)
   \[\left( x-\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\] done clear
  C)
   \[\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}+2 \right)\] done clear
  D)
   \[\left( x+\frac{1}{x} \right)\left( x-\frac{1}{x}+2 \right)\] done clear
  View Solution play_arrow

• question_answer27)
  Factorize the expression given by \[18{{x}^{3}}{{y}^{3}}-27{{x}^{2}}{{y}^{3}}+36{{x}^{3}}{{y}^{2}}\]
  A)
   \[9{{x}^{2}}{{y}^{2}}(2xy-3y+4x)\]     done clear
  B)
   \[9{{x}^{2}}{{y}^{2}}(2xy+3y+4x)\] done clear
  C)
   \[~9{{x}^{2}}{{y}^{2}}(2xy+3y-4x)\]                done clear
  D)
   \[9{{x}^{2}}{{y}^{2}}(2xy-3y-4x)\] done clear
  View Solution play_arrow

• question_answer28)
  Factorize the given expression \[~\mathbf{mn}({{\mathbf{u}}^{\mathbf{2}}}+{{\mathbf{v}}^{\mathbf{2}}})-\mathbf{uv}\left( {{\mathbf{m}}^{\mathbf{2}}}+{{\mathbf{n}}^{\mathbf{2}}} \right)\]
  A)
   \[\left( un+vm \right)\left( um-vn \right)\]                  done clear
  B)
   \[\left( un+vm \right)\left( um+vn \right)\] done clear
  C)
   \[\left( un-vm \right)\left( um-vn \right)\]  done clear
  D)
   \[\left( un-vm \right)\left( um+vn \right)\] done clear
  View Solution play_arrow

• question_answer29)
  Factorize \[\left( p+q \right)\left( 2p+5 \right)-\left( p+q \right)\left( p+3 \right)\]
  A)
   \[\left( p-q \right)\left( p+2 \right)\]            done clear
  B)
   \[\left( p-q \right)\left( p-2 \right)\] done clear
  C)
   \[\left( p-q \right)\left( p+2 \right)\]         done clear
  D)
   \[\left( p+q \right)\left( p+2 \right)\] done clear
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• question_answer30)
  The value of \[\left( x-y \right)\left( x+y \right)\left( {{x}^{2}}+{{y}^{^{2}}} \right)\left\{ {{\left( {{x}^{2}}+{{y}^{^{2}}} \right)}^{2}}-2{{x}^{2}}{{y}^{2}} \right\}\]is
  A)
   \[{{x}^{8}}-{{y}^{8}}\]       done clear
  B)
   \[{{x}^{8}}+{{y}^{8}}\] done clear
  C)
   \[{{x}^{6}}-{{y}^{6}}\]                    done clear
  D)
   \[{{x}^{6}}+{{y}^{6}}\] done clear
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