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

Question

Quizplus · Accepted Answer

To factor $30x^2 - 11x - 30$, we look for two numbers that multiply to $30 \times -30 = -900$ and add to $-11$. These numbers are -60 and +50. Thus, we rewrite the middle term: $30x^2 - 60x + 50x - 30$. Factoring by grouping, we get $30x(x - 2) + 10(5x - 3)$, which simplifies to $(6x + 5)(5x - 6)$.

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

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