Factor the trinomial, if possible.
-$$7 x ^ { 2 } - 9 x y - 10 y ^ { 2 }$$
A) prime
B) $y ( 7 x + 5 ) ( x - 2 )$
C) $( 7 x + 2 y ) ( x - 5 y )$
D) $( 7 x + 5 y ) ( x - 2 y )$

Question

Quizplus · Accepted Answer

The trinomial $7x^2 - 9xy - 10y^2$ can be factored as $(7x + 5y)(x - 2y)$ by finding two numbers that multiply to $7 \times -10 = -70$ and add to $-9$. These numbers are $5$ and $-14$, leading to the correct factorization.

Factor the Trinomial, If Possible 7x2−9xy−10y27 x ^ { 2 } - 9 x y - 10 y ^ { 2 }7x2−9xy−10y2

Factor the Trinomial, If Possible $7 x ^ { 2 } - 9 x y - 10 y ^ { 2 }$