Question

pari meet girl comIs (x − 2) a factor of f(x) = x^3 − 2x^2 + 2x + 3? Use either the remainder​

Answer 1

Answer:

By factor theorem,if the value of polynomial p(x) is zero at x=c, then g(x)=x−c is a factor of p(x).

Given p(x)=x

3

+2x

2

+3x+6 and g(x)=x+2

To find value of c,

g(x)=0 then c=−2

if we replace x by −2 we get,

p(−2)=(−2)

3

+2(−2)

2

+3(−2)+6

p(−2)=−8+8−6+6

p(−2)=0

Therefore, x+2 is factor of x

3

+2x

2

+3x+6

Explanation:

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