Multiply the polynomials.
-$( 6 y + 11 ) \left( 2 y ^ { 2 } - 2 y - 4 \right)$
A) $34 y ^ { 2 } - 34 y - 68$
B) $12 y ^ { 3 } + 10 y ^ { 2 } - 46 y - 44$
C) $12 y ^ { 3 } - 12 y ^ { 2 } - 24 y + 11$
D) $12 y ^ { 3 } + 34 y ^ { 2 } + 46 y + 44$

Question

Quizplus · Accepted Answer

To multiply the polynomials, distribute each term in the first polynomial across each term in the second polynomial: $6y(2y^2) + 6y(-2y) + 6y(-4) + 11(2y^2) + 11(-2y) + 11(-4)$. This simplifies to $12y^3 - 12y^2 - 24y + 22y^2 - 22y - 44$, which combines to $12y^3 + 10y^2 - 46y - 44$.

Multiply the Polynomials (6y+11)(2y2−2y−4)( 6 y + 11 ) \left( 2 y ^ { 2 } - 2 y - 4 \right)(6y+11)(2y2−2y−4)

Multiply the Polynomials $( 6 y + 11 ) \left( 2 y ^ { 2 } - 2 y - 4 \right)$