Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Sagot :

sqdancefan

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

View image sqdancefan
View image sqdancefan
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.