Math, asked by vp8851559283, 5 months ago

X³+kx⁴-17x+15 value of k gx is a factor of fx

Answers

Answered by rozzah74
0

Answer: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

Step-by-step explanation:

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