Question

check whether the polynomial g(x) is a factor of p(x)

p(x) = 4x³+7x²-2x+5 , g(x) = 2x-3

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Answer 1

Answer:

♡Solution →

Quotient = 2x² + 6x + 8

Reminder = x² + 29

Calculation is in the attachment.

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Answer 2

Given polynomial f(x)=x³−4x² +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)=x²−4x²+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 ³−4x² −x+6

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