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

Test the proposed factors by substituting their zeros into the polynomial f(x) = x² + 8x − 6. We get f(2) = 14, f(−2) = −18, and f(4) = 42, so none of the listed binomials is a factor. The discriminant is 8² − 4(1)(−6) = 88, which is not a perfect square, so the polynomial does not factor over the integers; it is prime.

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