Question

if x = 0 and x= -1 are the roots of the polynomial f(x)=2x cube - 3x square +ax+b. find a and b​

Answer 1

Step-by-step explanation:

$let \: p(x) = 2{x}^{3} - 3 {x}^{2} +a x + b$

when x = 0 then

$p(0) = 2 {(0)}^{3} - 3 {(0)}^{2} + 0) + b = 0$

$b = 0$

when x = -1

$p( - 1) = 2 {( - 1)}^{3} - 3 {( - 1)}^{2} + ( - 1)a + 0 = 0$

$(- 2) - 3 - a = 0 = > a = - 5$

a= -5 and b= 0