Choose the one alternative that best completes the statement or answers the question.Find the product. -( 4 k - 5)( 2 k³ - 3 k² + 5 k + 4) A) 8 k⁴ + 3 k³ + 35 k² - 9 k - 20 B) 8 k⁴ - 22 k³ + 35 k² - 9 k - 20 C) 8 k⁴ - 22 k³ + 35 k² + 16 k - 20 D) 8 k⁴ - 22 k³ - 5 k² - 9 k - 20

Question

Quizplus · Accepted Answer

To find the product of $ (4k - 5)(2k^3 - 3k^2 + 5k + 4) $, you distribute each term in the first polynomial across the second polynomial. This involves multiplying $4k$ by each term in the second polynomial and then $ -5$ by each term in the second polynomial, and finally adding the results together. The correct distribution and combination of like terms yield $8k^4 - 22k^3 + 35k^2 - 9k - 20$.

Choose the One Alternative That Best Completes the Statement or Answers