1.

Find the coefficient of `x^(2)` in the polynomial : `2x^(3)-3x^(2)+5x(1-(x)/(2))+2x^(2)(x+7)-13`

Answer» Given polynomial is `2x^(3)-3x^(2)+5x(1-(x)/(2))+2x^(2)(x+7)-13`
`=2x^(3)-3x^(2)+5x-(5)/(2)x^(2)+2x^(3)+14x^(2)-13`
`x^(3)(2+2)+x^(2)(-3-(5)/(2)+14)+x(5)-13=4x^(3)+(17)/(2)x^(2)+5x-13`
`therefore` Coefficient of `x^(2) " is" (17)/(2)`.


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