For what value of a, a polynomial in standard form, equivalent to the product of (x^2+x-1) (x-a), does not contain: x

Question

Mathematics

Yurem Villegas

16 October, 15:48

For what value of a, a polynomial in standard form, equivalent to the product of (x^2+x-1) (x-a), does not contain: x

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Answers (1)

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Douglas · Answer 1

Answer: a=x, then polynomial is zero.

a = x - 1 / (x^2+x-1), then polynomial is one, but we have to note (x^2+x-1) ! = 0.

Step-by-step explanation:

The polynomial product is identically zero when a = x, since factor (x-a) becomes zero. Another way for a polynomial to not contain x is if it is a constant not zero. For example,

(x-a) = 1 / (x^2+x-1)

a = x - 1 / (x^2+x-1)

Substitute a = x - 1 / (x^2+x-1) into

(x^2+x-1) (x-a) = (x^2+x-1) / (x^2+x-1) = 1.