Question

find the value of a when g(x) is a factor of p(x)



g(x)=x-1; p(x)=ax power 2 -5x+3​

Answer 1

find the value of a when g(x) is a factor of p(x)

$g(x) = x - 1 \\ \\ p(x) = a {x}^{2} - 5x + 3$
if g(x) is a factor of p(x),then value of x from g(x) must satisfy the polynomial p(x)

$x - 1 = 0 \\ \\ x = 1$
$p(1) = 0 \\ \\ a( {1)}^{2} - 5(1) + 3 = 0 \\ \\ a - 5 + 3 = 0 \\ \\ a - 2 = 0 \\ \\ a = 2$
Hope it helps you