Factor completely.
-$12 x ^ { 2 } - 17 x y + 6 y ^ { 2 }$
A) $( 4 x - 3 y ) ( 3 x - 2 y )$
B) $( 4 x + 3 y ) ( 3 x + 2 y )$
C) prime
D) $( 12 x + 3 y ) ( x + 2 y )$

Question

Quizplus · Accepted Answer

The correct factorization of $12x^2 - 17xy + 6y^2$ is $(4x - 3y)(3x - 2y)$, which matches choice A. This is found by looking for two numbers that multiply to $12x^2 \cdot 6y^2 = 72x^2y^2$ and add to the middle term coefficient, $-17xy$. The numbers -9xy and -8xy fit these criteria, leading to the factorization $(4x - 3y)(3x - 2y)$.

Factor Completely 12x2−17xy+6y212 x ^ { 2 } - 17 x y + 6 y ^ { 2 }12x2−17xy+6y2

Factor Completely $12 x ^ { 2 } - 17 x y + 6 y ^ { 2 }$