Question

Write the coefficient of x2 in (2x-5)(2x2-3x +1) O 10 16 O -10 O -16​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{(2x-5)(2x^2-3x+1)}$

$\underline{\textbf{To find:}}$

$\mathsf{coefficient\;of\;(2x-5)(2x^2-3x+1)}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{(2x-5)(2x^2-3x+1)}$

$\textsf{By term by term multiplication}$

$\mathsf{=4x^3-6x^2+2x-10x^2+15x-5}$

$\mathsf{=4x^3-16x^2+17x-5}$

$\implies\mathsf{Coefficient\;of\;x^2\;is\;-16}$

$\underline{\textbf{Find more:}}$

If 81x⁴-72x³+px²-8x+1 is a perfect square the find the value of p

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