Find the product.
-$$( 5 m + 4 ) \left( 5 m ^ { 3 } + 2 m ^ { 2 } - 3 m + 5 \right)$$
A) $25 m ^ { 4 } + 30 m ^ { 3 } - 7 m ^ { 2 } + 25 m + 20$
B) $25 m ^ { 4 } + 18 m ^ { 3 } - 7 m ^ { 2 } + 13 m + 20$
C) $25 m ^ { 4 } + 30 m ^ { 3 } - 7 m ^ { 2 } + 13 m + 20$
D) $25 m ^ { 4 } + 30 m ^ { 3 } - 27 m ^ { 2 } + 13 m + 20$

Question

Quizplus · Accepted Answer

To find the product, distribute each term in the first polynomial across the second polynomial:- $5m \times 5m^3 = 25m^4$- $5m \times 2m^2 = 10m^3$- $5m \times (-3m) = -15m^2$- $5m \times 5 = 25m$- $4 \times 5m^3 = 20m^3$- $4 \times 2m^2 = 8m^2$- $4 \times (-3m) = -12m$- $4 \times 5 = 20$Adding these results together gives:- $25m^4 + (10m^3 + 20m^3) + (-15m^2 + 8m^2) + (25m - 12m) + 20$- $25m^4 + 30m^3 - 7m^2 + 13m + 20$Therefore, the correct answer is $25m^4 + 30m^3 - 7m^2 + 13m + 20$.

Find the Product (5m+4)(5m3+2m2−3m+5)( 5 m + 4 ) \left( 5 m ^ { 3 } + 2 m ^ { 2 } - 3 m + 5 \right)(5m+4)(5m3+2m2−3m+5)

Find the Product $( 5 m + 4 ) \left( 5 m ^ { 3 } + 2 m ^ { 2 } - 3 m + 5 \right)$