question_answer 1)

(a) Identify terms which contain x and give that coefficient of \[x\] (i) \[{{y}^{2}}x+y\]                           (ii) \[13{{y}^{2}}-8yx\]                    (iii)  \[x+y+2\]                    (iv) \[5+z+zx\] (v) \[1+x+xy\]                   (vi) \[12x{{y}^{2}}+25\]                 (vii) \[7x+x{{y}^{2}}\] (b) identify terms which contain \[{{y}^{2}}\]and give the coefficient of \[{{y}^{2}}\]. (i) \[8-x{{y}^{2}}\]                            (ii) \[5{{y}^{2}}+7x\]                       (iii) \[2{{x}^{2}}y-15x{{y}^{2}}+7{{y}^{2}}\]

Answer:

               

(i)	\[{{\mathbf{y}}^{\mathbf{2}}}\mathbf{x+y}\]	Term which contain \[x\]	coefficient of \[x\]
		\[{{y}^{2}}x\]	\[{{y}^{2}}\]
(ii)	\[\mathbf{13}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-8yx}\]	Term which contain \[x\]	coefficient of \[x\]
		\[-8yx\]	\[-8y\]
(iii)	\[\mathbf{x+y+z}\]	Term which contain \[x\]	coefficient of \[x\]
		\[x\]	1
(iv)	\[\mathbf{5+z+zx}\]	Term which contain \[x\]	coefficient of \[x\]
		\[zx\]	\[z\]
(v)	\[\mathbf{1+x+xy}\]	Term which contain \[x\]	coefficient of \[x\]
		\[x\]	1
		\[xy\]	\[y\]
(vi)	\[12x{{y}^{2}}+25\]	Term which contain \[x\]	coefficient of \[x\]
		\[12x{{y}^{2}}\]	\[12{{y}^{2}}\]
(vii)	\[\mathbf{7x+x}{{\mathbf{y}}^{\mathbf{2}}}\]	Term which contain \[x\]	coefficient of \[x\]
		\[7x\]	7
		\[x{{y}^{2}}\]	\[{{y}^{2}}\]
(b) (i)	\[\mathbf{8x-x}{{\mathbf{y}}^{\mathbf{2}}}\]	Term which contains \[{{y}^{2}}\]	coefficient of \[{{y}^{2}}\]
		\[-x{{y}^{2}}\]	\[-x\]
(ii)	\[\mathbf{5}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+7x}\]	Term which contains \[{{y}^{2}}\]	coefficient of \[{{y}^{2}}\]
		\[5{{y}^{2}}\]	5
(iii)	\[\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{y-15x}{{\mathbf{y}}^{\mathbf{2}}}\] \[\mathbf{+7}{{\mathbf{y}}^{\mathbf{2}}}\]	Terms which contains \[{{y}^{2}}\]	coefficient of \[{{y}^{2}}\]
		\[-15x{{y}^{2}}\]	\[-15x\]
		\[7{{y}^{2}}\]	7