Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Write a polynomial function in standard form with given zero x=1,-2,-7

Sagot :

Space

Answer:

f(x) = x³ + 8x² + 5x - 14

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Binomial Roots

Step-by-step explanation:

Step 1: Define

Zeros x = 1, -2, -7

Step 2: Find Polynomial

  1. Rewrite zeros:                           f(x) = (x - 1)(x + 2)(x + 7)
  2. Expand [FOIL]:                           f(x) = (x² + 2x - x - 2)(x + 7)
  3. Combine like terms (x):             f(x) = (x² + x - 2)(x + 7)
  4. Expand [Distribute]:                  f(x) = x³ + x² - 2x + 7x² + 7x - 14
  5. Combine like terms (x²):           f(x) = x³ + 8x² - 2x + 7x - 14
  6. Combine like terms (x):             f(x) = x³ + 8x² + 5x - 14
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.