83439
AssignmentMultiple Choice

Factoring Trinomials: a = 1 (Continued)

Question 83439 • 26MATH_Recovery_Alg1B22

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 when substituting r into the polynomial gives 0. For x − 2, x + 2, and x − 4, test x = 2, −2, and 4: the polynomial gives 14, −18, and 42, respectively, so none of A, B, or C is a factor. The quadratic has no integer factorization, so the polynomial is prime; the true statement is D.

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