Question

Show all your work multiplying the polynomials above:

(You can use the FOIL or Box Method)
(x^3-4x^2+1)(3x^2+x)

Answer 1

3
`x^(5)` - 11
`x^(4)` - 4x³ + 3x² + x

Explanation:

(x³ - 4x² + 1)(3x² + x)

Each term in the second factor is multiplied by each term in the first factor, that is

x³(3x² + x) - 4x²(3x² + x) + 1 (3x² + x) ← distribute parenthesis

= 3
`x^(5)` +
`x^(4)` - 12
`x^(4)` - 4x³ + 3x² + x ← collect like terms

= 3
`x^(5)` - 11
`x^(4)` - 4x³ + 3x² + x