Choose the one alternative that best completes the statement or answers the question.Find the product. -( 3 z² + 3 z + 5)( z² + 5 z + 2) A) 3 z⁴ + 18 z³ + 26 z² + 31 z + 10 B) 3 z⁴ + 18 z³ + 21 z² + 31 z + 10 C) 3 z⁴ + 15 z³ + 21 z² + 31 z + 10 D) 3 z⁴ + 15 z³ + 26 z² + 31 z + 10

Question

Quizplus · Accepted Answer

The correct answer is obtained by multiplying the polynomials together, following the distributive property (also known as FOIL for binomials). Each term in the first polynomial is multiplied by each term in the second polynomial, and then like terms are combined. The coefficients and powers of z are carefully calculated to ensure accuracy, leading to the correct expansion and simplification as shown in option A.

Choose the One Alternative That Best Completes the Statement or Answers