8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Factorization: \[2{{x}^{3}}+5x-12x{{y}^{2}}\]

    A)  \[x\left( x+2y \right)\left( 2x+3y \right)\]                      

    B)  \[x~\left( x+4y \right)\left( 2x-3y \right)\]

    C)  \[~x\left( x-4y \right)\left( 2x-3y \right)\]                       

    D)  \[x\left( x+2y \right)\left( x-3y \right)\]

    Correct Answer: B

    Solution :

    (b): Here x has to be taken as common factor \[=x\left[ 2{{x}^{2}}+5xy-12{{y}^{2}} \right]\] \[=2\times {{x}^{2}}+(5y)\times x-12{{y}^{2}}\] is of the form \[a{{x}^{2}}+bx+c\] Now, use same techniques as in Q9.


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