Multiply the polynomials. $$\left( - 3 t ^ { 2 } u ^ { 3 } \right) \left( 5 t ^ { 7 } u ^ { 8 } \right)$$
A) $- 15 t ^ { 14 } u ^ { 24 }$
B) $- 15 t ^ { - 5 } u ^ { - 5 }$
C) $- 15 t ^ { 9 } u ^ { 11 }$
D) $2 t ^ { 9 } u ^ { 11 }$

Question

Quizplus · Accepted Answer

When multiplying polynomials, you multiply the coefficients and add the exponents of like bases. Here, $(-3) \times (5) = -15$, $t^2 \times t^7 = t^{2+7} = t^9$, and $u^3 \times u^8 = u^{3+8} = u^{11}$, resulting in $-15t^9u^{11}$.

Multiply the Polynomials (−3t2u3)(5t7u8)\left( - 3 t ^ { 2 } u ^ { 3 } \right) \left( 5 t ^ { 7 } u ^ { 8 } \right)(−3t2u3)(5t7u8)

Multiply the Polynomials $\left( - 3 t ^ { 2 } u ^ { 3 } \right) \left( 5 t ^ { 7 } u ^ { 8 } \right)$