Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.