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3 years ago

Multiply the polynomial (x-5)(x^2+4x-2)

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

I believe the answer is (x^3)-(x^2)-22x+10

scoundrel [369]3 years ago

7 0

Answer:

x³ - x² - 22x + 10

Step-by-step explanation:

Given

(x - 5)(x² + 4x - 2)

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

x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis

= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms

= x³ + (4x² - 5x²) + (- 2x - 20x) + 10

= x³ + (- x²) + (- 22x) + 10

= x³ - x² - 22x + 10

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