Factor completely. -6x²-18xy-24y²=6(_____)(_____) A) x + y, x - 4y B) x - 6y, x + 4y C) x - y, x + 4y D) x + 6y, x - 4y

Question

Quizplus · Accepted Answer

The given expression can be factored by first taking out the common factor of 6, which leaves us with $x^2 - 3xy - 4y^2$. Factoring the quadratic expression inside the parentheses, we look for factors of -4 (the constant term) that add up to -3 (the coefficient of the middle term). The factors -4 and 1 meet these criteria, so the expression can be factored into $(x + y)(x - 4y)$. Therefore, the complete factorization is $6(x + y)(x - 4y)$.

Factor Completely. -6x2-18xy-24y2=6(_____)(_____)

Factor Completely. -6x²-18xy-24y²=6(_)(_)