Multiply.
-$$( 4 y + 11 ) \left( 7 y ^ { 2 } - 2 y - 9 \right)$$
A) $28 y ^ { 3 } - 8 y ^ { 2 } - 36 y + 11$
B) $28 y ^ { 3 } + 69 y ^ { 2 } - 58 y - 99$
C) $28 y ^ { 3 } + 85 y ^ { 2 } + 58 y + 99$
D) $105 y ^ { 2 } - 30 y - 135$

Question

Quizplus · Accepted Answer

To multiply the given expressions, distribute each term in the first polynomial across each term in the second polynomial: $(4y + 11)(7y^2 - 2y - 9)$. This results in $4y \cdot 7y^2 + 4y \cdot (-2y) + 4y \cdot (-9) + 11 \cdot 7y^2 + 11 \cdot (-2y) + 11 \cdot (-9)$, which simplifies to $28y^3 - 8y^2 - 36y + 77y^2 - 22y - 99$. Combining like terms gives $28y^3 + 69y^2 - 58y - 99$.

Multiply - (4y+11)(7y2−2y−9)( 4 y + 11 ) \left( 7 y ^ { 2 } - 2 y - 9 \right)(4y+11)(7y2−2y−9)

Multiply
- $( 4 y + 11 ) \left( 7 y ^ { 2 } - 2 y - 9 \right)$