Factor the trinomial completely.
-$24 x ^ { 2 } + 14 x y + 2 y ^ { 2 }$
A)2(3x - y)(4x - y)
B)(6x + 2y)(4x + y)
C)2(3x + y)(4x + y)
D)prime

Question

Quizplus · Accepted Answer

The trinomial can be factored by first taking out the greatest common factor, which is 2, resulting in $2(12x^2 + 7xy + y^2)$. Then, by finding factors of $12x^2$ and $y^2$ that add up to the middle term, $7xy$, we get $3x$ and $4x$ for $12x^2$ and $y$ for $y^2$, leading to the factorization $2(3x + y)(4x + y)$.

Factor the Trinomial Completely 24x2+14xy+2y224 x ^ { 2 } + 14 x y + 2 y ^ { 2 }24x2+14xy+2y2

Factor the Trinomial Completely $24 x ^ { 2 } + 14 x y + 2 y ^ { 2 }$