Question

check whether x² -3x+1 is a factor of x5 -4x³ +x²+3x+1​

Answer 1

Answer:

Answer

To check whether (x−1) is factor of x

10

−1 and x

11

−1

Then value of p(x)=x

10

−1 and q(x)=x

11

−1 is zero when x−1=0 or x=1

Replace x by 1 we get

p(x)=x

10

−1

p(1)=(1)

10

−1

p(1)=1−1=0

and q(x)=x

11

−1

q(1)=(1)

11

−1

q(1)=1−1=0

So p(1) and q(1) are zero

then x−1 is a factor of x

10

−1 and x

11

−1

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