SOLUTION: x^4 +6x^3 +7x 2 −6x−8 ; x+2 and x+4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^4 +6x^3 +7x 2 −6x−8 ; x+2 and x+4      Log On


   



Question 1199500: x^4 +6x^3 +7x 2 −6x−8 ; x+2 and x+4
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You did not tell what you want to learn, know, or understand.
You want to find if the last two expressions are factors of the degree-four polynomial expression?


One way is to try this:
Let x=-2.
Substitute into the polynomial. Result 0 or not?
Let x=-4.
Substitute into the polynomial. Result 0 or not?

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Something is not right in the first expression (polynomial?). Missing exponentiation symbol?
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Anyway, if you divide using either polynomial division or synthetic division successively for the two binomials, the result will give you x%5E2-1;
so you could say the given polynomial (degree four) is
%28x%5E2-1%29%28x%2B2%29%28x%2B4%29
.

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The question is incomplete.

Please post the full problem. This means you need to include the verbal instructions your teacher has given.