Question

Enter the correct answer​

Answer 1

The product of polynomial
`(-2m^3+3m^2-m)(4m^2+m-5)` is
`\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}`

Explanation:

We need to find the standard form of polynomial that represents the product of
`(-2m^3+3m^2-m)(4m^2+m-5)`

Finding the product of polynomial

`(-2m^3+3m^2-m)(4m^2+m-5)\\=-2m^3(4m^2+m-5)+3m^2(4m^2+m-5)-m(4m^2+m-5)\\=-8m^5-2m^4+10m^3+12m^4+3m^3-15m^2-4m^3-m^2+5m\\Combining\:like\:terms\\=-8m^5-2m^4+12m^4+10m^3+3m^3-4m^3-15m^2-m^2+5m\\=-8m^5+10m^4+9m^3-16m^2+5m\\`

So, the product of polynomial
`(-2m^3+3m^2-m)(4m^2+m-5)` is
`\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}`