Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.

As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1) (x^2 + 2x + 2)

Question

Marley Jarvis

Mathematics

31 December, 10:52

Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.

As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1) (x^2 + 2x + 2)

+3

Answers (1)

Know the Answer?

Jacquelyn Byrd · Answer 1

The product of (x + 1) (x² + 2x + 2) is

x³ + 3x² + 2x + 4

Step-by-step explanation:

The product of (x + 1) (x² + 2x + 2) is Given in the steps below.

(x + 1) (x² + 2x + 2) = x (x² + 2x + 2) + x² + 2x + 2

= x³ + 2x² + 2 + x² + 2x + 2

= x³ + 3x² + 2x + 4