Question

determine which of the following polynomials has (x+1) as a factor
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Answer 1

Answer:

Step-by-step explanation:

I think neither as putting x=-1

Neither equation is coming 0

Answer 2

$\underline {\blue { Factor \: Theorem : }}$

If ( x - a ) is a factor of a polynomial p(x) then

p(a) = 0

$Let \: p(x) = x^{4} - x^{3} + x^{2} - x + 1$

$p(-1) = (-1)^{4} -(- 1)^{3} + (-1)^{2} -(- 1 )+ 1 \\= 1 + 1 + 1 + 1 + 1 \\= 5 \neq 0$

$\implies p(-1) \neq 0$

Therefore.,

$( x+1 ) \: is \:not\: a \: factor \: of \: given \\polynomial \: x^{4} - x^{3} + x^{2} - x + 1$

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