Question

What is the simplified answer I have already answered half I just need help with the last part

Answer 1

Consider the given expression,

`(-4x^3-4x^2-3x+2)(x+6)`

In order to simplify the expression, the first factor is multiplied by 'x' and then '6'. Finally, all the terms will be added,

`=x(-4x^3-4x^2-3x+2)+6(-4x^3-4x^2-3x+2)`

The given table gives each of the above products. So we can substitute the values from there,

`=-4x^4-4x^3-3x^2+2x-24x^3-24x^2-18x+12`

Adding the like terms,

`\begin{gathered} =-4x^4+(-4-24)x^3+(-3-24)x^2+(2-18)x+12 \\ =-4x^4-28x^3-27x^2-16x+12 \end{gathered}`

Thus, the simplified form of the given expression is,

`-4x^4-28x^3-27x^2-16x+12`