Question

enter the correct answer in the box.
what is the standard form polynomial that represents this product?
(-2m^{3} + 3m^{2} - m)(4m^{2} + m - 5)

Explanation:

Step1: Distribute first polynomial terms

$(-2m^3)(4m^2 + m - 5) + 3m^2(4m^2 + m - 5) - m(4m^2 + m - 5)$

Step2: Calculate each distributed part

$-8m^5 - 2m^4 + 10m^3 + 12m^4 + 3m^3 - 15m^2 - 4m^3 - m^2 + 5m$

Step3: Combine like terms

$-8m^5 + (-2m^4 + 12m^4) + (10m^3 + 3m^3 - 4m^3) + (-15m^2 - m^2) + 5m$

Step4: Simplify each term group

$-8m^5 + 10m^4 + 9m^3 - 16m^2 + 5m$

Answer:

$-8m^5 + 10m^4 + 9m^3 - 16m^2 + 5m$