Answer:
3[tex]x^{5}[/tex] - 11[tex]x^{4}[/tex] - 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[tex]x^{5}[/tex] + [tex]x^{4}[/tex] - 12[tex]x^{4}[/tex] - 4x³ + 3x² + x ← collect like terms
= 3[tex]x^{5}[/tex] - 11[tex]x^{4}[/tex] - 4x³ + 3x² + x
