Question

find coefficient of x2 in the polynomial p(x) =(5 - 2x) (5x^2 - 7x)

Answer 1

      $\underline{\bold{Answer:}}$

      $11$

      $\underline{\bold{Step-by-step-explaination:}}$

      $\text{We must find the coefficient of }x^{2} \text{ in the polynomial }$

      $p(x) = (5-2x)(5x^{2} -7x)$

      $\text{We must first simplify the polynomial}$

$\implies p(x) = 5(5x^{2} -7x) -2x(5x^{2} -7x)$

$\implies p(x) = 25x^{2} -35x - 10x^{3} - 14x^{2}$

$\implies p(x) = -10x^{3} + 25x^{2} -14x^{2} -35x$

$\implies p(x) = -10x^{3} + 11x^{2} -35x$

       $\text{Now we can find the coefficient of }x^{2}$

$\implies 11 \text{ is the coefficient of }x^{2}$