mikayuu202
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.

Sagot :

sqdancefan

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

View image sqdancefan
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.