Question

Is the polynomial x-2 a factor of the polynomial x4 - x3 - x2 - x - 2?

Answer 1

Let p(x)=x⁴-x³-x²-x-2 and g(x)=x-2; Remainder = p(2)=2⁴-2³-2²-2-2=16-8-4-2-2=16-(8+4+2+2)=16-16=0;According to the factor theorem if x-a is a factor of p(x) then p(a) should be 0.Hence g(x) is the factor of p(x); Please mark the answer as brainliest.

Answer 2

yes, x-2 is the factor because

Step-by-step explanation:

let x-2=0 then x=2

now put x=2 in the given polynomial if it is zero then x-2 is factor of given polynomial.

if we put to in the polynomial we get

16-8-4-2-2

16-16=0.

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