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Question

Determine whether (x+1) is a factor of the polynomial:
2x4+9x3+2x2+10x+15

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Solution

According to factor theorem, when f(x) is divided by (x+1), f(1)=0
f(x)=2x4+9x3+2x2+10x+15
f(1)=2(1)4+9(1)3+2(1)2+10(1)+15
=29+210+15=0
f(1)=0,(x+1) is a factor of the given polynomial.

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