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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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144

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b) To obtain the next number that comes after 144five, add 1five to 144five.  Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward.  When 1 is added to the next 4, the result will be 0 with 1 carried backward.  1 added to 1 = 2, all in base 5.  Figures in base 5 cannot exceed 4.  The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

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Answer is
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Step by step
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