Question

11) f(x) = x3 - 3x2 + 4x - 4; g(x) = (x-2)
use factor theorem and find whether a polynomial G(x) is a factor of polynomial F(x) or not​

Answer 1

Answer:

hey mate

Step-by-step explanation:

Given polynomial f(x)=x

3

−4x

2

+x+6 the factor of g(x)=x−2

If x-2 is factor then x-2=0 or x=2

Replace x in p(x) by 2 we get

f(x)=x

3

−4x

2

+x+6

f(2)=(2)

3

−4(2)

2

+(2)+6

⇒f(2)=8−16+2+6

⇒f(2)=0

So f(x) is zero by g(x) =x-2 then g(x)=(x-2) is factor of f(x)=x

3

−4x

2

−x+6

Answer 2

Answer:

g(2)=0

so check f(2)

if f(2) is zero then g(x) is a factor of f(x)

f(2)=8-12+8-4=0

yes f(2)=0 so g(x) is a factor of f(x)