83440
AssignmentMultiple Choice

Factoring Trinomials: a = 1 (Continued)

Question 83440 • Common Core Algebra I B-IC

Which statement is true of x2 + 8x – 6?

Answer
A
(x – 2) is a factor of the polynomial.
B
(x + 2) is a factor of the polynomial.
C
(x – 4) is a factor of the polynomial.
D
The polynomial is prime.

Explanation

Use the factor theorem: a binomial (x − r) is a factor only if substituting r into the polynomial gives 0. For x − 2, x + 2, and x − 4, the corresponding values are 14, −18, and −22, so none of those binomials is a factor. The quadratic has no integer factorization, so the correct choice is that the polynomial is prime.

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