Question

determine whether x+1 is a factor of the polynomial 3x^4+x^3-x^2+3x+2
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Answer 1

Answer:

If x + 1 is a factor of given p(x),

Then,

p(-1) = 0

3(-1^4) + (-1^3) - (-1^2) + 3(-1) + 2

3 - 1 - 1 - 3 + 2 = 0

Therefore, x + 1 is a factor of given polynomial.

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Answer 2

Answer:

Yes

Step-by-step explanation:

If x+1 is a factor of the equation we can say that,

3x^4+x^3-x^2+3x+2 = (x+1)(Something)

So when x+1=0, (3x^4+x^3-x^2+3x+2) should be equal to 0 as well

So substitute x+1=0 that is x=-1 in the equation .