Factor the expression completely. $30 x ^ { 2 } - 11 x - 30$
A) (9x + 7)(5x - 6)
B) (9x - 7)(7x + 9)
C) (9x + 7)(7x - 9)
D) (6x + 5)(5x - 6)
E) (6x + 5)(7x - 9)

Question

Quizplus · Accepted Answer

The correct factoring of the given expression $30x^2 - 11x - 30$ is found by looking for two numbers that multiply to $30 \times -30 = -900$ and add up to $-11$. These numbers are $-15$ and $+6$. Rewriting the middle term $-11x$ as $-15x + 6x$ and factoring by grouping gives us the correct factorization as $(6x + 5)(5x - 6)$.

Factor the Expression Completely 30x2−11x−3030 x ^ { 2 } - 11 x - 3030x2−11x−30

Factor the Expression Completely $30 x ^ { 2 } - 11 x - 30$