Multiply the polynomials by using the distributive property.
-$$\left( 8 t ^ { 7 } u ^ { 3 } \right) \left( 3 t ^ { 4 } u ^ { 5 } \right)$$
A) $24 t ^ { 3 } u ^ { - 2 }$
B) $24 t ^ { 28 } u ^ { 15 }$
C) $24 t ^ { 11 } u ^ { 8 }$
D) $11 t ^ { 11 } u ^ { 8 }$

Question

Quizplus · Accepted Answer

When multiplying polynomials, coefficients are multiplied directly, and like bases are added together in their exponents. Thus, $8 \times 3 = 24$, $t^7 \times t^4 = t^{7+4} = t^{11}$, and $u^3 \times u^5 = u^{3+5} = u^8$, making the correct answer $24t^{11}u^8$.

Multiply the Polynomials by Using the Distributive Property (8t7u3)(3t4u5)\left( 8 t ^ { 7 } u ^ { 3 } \right) \left( 3 t ^ { 4 } u ^ { 5 } \right)(8t7u3)(3t4u5)

Multiply the Polynomials by Using the Distributive Property $\left( 8 t ^ { 7 } u ^ { 3 } \right) \left( 3 t ^ { 4 } u ^ { 5 } \right)$