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Luda [366]
2 years ago
8

Show all your work multiplying the polynomials above:

Mathematics
1 answer:
Alika [10]2 years ago
4 0

Answer:

3x^{5} - 11x^{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

= 3x^{5} + x^{4} - 12x^{4} - 4x³ + 3x² + x ← collect like terms

= 3x^{5} - 11x^{4} - 4x³ + 3x² + x

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