taylorew55
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Write a polynomial function in standard form with zeros at 5, -4, and 1.

Sagot :

Answer:

f(x) = x³ - 2x² - 19x + 20

Step-by-step explanation:

Given a polynomial with zeros x = a, x = b then the corresponding factors are

(x - a)(x - b) and the polynomial is then the product of the factors

Given zeros x = 5, x = - 4, x = 1 , then

(x - 5), (x + 4) and (x - 1) are the factors, then

f(x) = (x - 5)(x + 4)(x - 1) ← expand the first pair of factors using FOIL

     = (x² - x - 20)(x - 1) ← distribute

     = x³ - x² - 20x - x² + x + 20 ← collect like terms

     = x³ - 2x² - 19x + 20

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.