Question

1. which factoring pattern should you use to solve 9x² + 48x + 64 = 0? why?

a. use the pattern (√a·x ± √c)² = 0 because |b| = 2√a√c so the equation 9x² + 48x + 64 = 0 contains a perfect square trinomial.
b. use the pattern (√a·x ± √c)² = 0 because |b| = √a√c so the equation 9x² + 48x + 64 = 0 contains a perfect square trinomial.
c. use the pattern (√a·x + √c)(√a·x - √c) = 0 because c = 64, which is a perfect square.
d. use the pattern (√a·x + √c)(√a·x - √c) = 0 because a = 9, which is a perfect square.

Explanation:

Answer:

a. Use the pattern \((\sqrt{a}\cdot x\pm\sqrt{c})^2 = 0\) because \(|b| = 2\sqrt{a}\sqrt{c}\) so the equation \(9x^{2}+48x + 64 = 0\) contains a perfect - square trinomial.