Question

if x+1 is the factor of ax^3 +x^2-2x+4a - 9 find the value of a

Answer 1

Answer:

a = 2

Step-by-step explanation:

let p(x)= $ax^{3} +x^{2} -2x+4a-9$

given,

x-1 is a factor of p(x)

By factor theorem,

$p(1)=ax^{3} +x^{2} -2x+4a-9=0$

$a(1)^{3} +(1)^{2} -2(1)+4a-9=0$

a + 1 - 2 + 4a - 9 = 0

5a - 10 = 0

5a = 10

a = 2

hope helpful!!