Question

Show all your work multiplying the polynomials above:

Answer 1

Answer:

3$x^{5}$ - 11$x^{4}$ - 4x³ + 3x² + x

Step-by-step 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