Ask Question
26 April, 04:35

What is a quartic polynomial function in standard form with zeros 1, - 3,-2, and - 2

+1
Answers (1)
  1. 26 April, 05:53
    0
    Answer: x⁴ + 6x³ + 9x² - 4x - 12

    Step-by-step explanation:

    zeros are: x = 1, x = - 3, x = - 2, and x = - 2

    Which means: x - 1 = 0, x + 3 = 0, x + 2 = 0, and x + 2 = 0

    So the factors are: (x - 1) (x + 3) (x + 2) (x + 2) = 0

    Multiply two at a time:

    (x - 1) (x + 3) = x² + 2x - 3

    (x + 2) (x + 2) = x² + 4x + 4

    Now multiply those polynomials together using distributive method:

    x² (x² + 4x + 4) + 2x (x² + 4x + 4) - 3 (x² + 4x + 4)

    = x⁴ + 4x³ + 4x² + 2x³ + 8x² + 8x - 3x² - 12x - 12

    = x⁴ + 6x³ + 9x² - 4x - 12

    Bonus: Quartic means a polynomial of degree 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “What is a quartic polynomial function in standard form with zeros 1, - 3,-2, and - 2 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers