Question

check whether X + 1 is a factor of x power 4 + 2 x power 5 + 2 x power 2 + X + 1​

Answer 1

Step-by-step explanation:

Dividend:

${x}^{4} + 2 {x}^{5} + 2 {x}^{2} + x + 1$

Divisor: x + 1

So if we insert -1 inplace of x and get 0 (x +1) will be a factor.

$f( - 1) \\ = {( - 1)}^{4} + 2 \times {( - 1)}^{5} + 2 {( - 1)}^{2} - 1 + 1 \\ = 1 - 2 + 2 - 1 + 1 \\ = 1$

Because f(-1)=1

Therefore (x+1) is not a factor.

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