Factoring Polynomials in Higher Degree

What is the process of factoring polynomials?

• Multiplying a polynomial expression by its conjugate.

• Combining like terms in a polynomial expression.

• Finding the greatest common factor of a polynomial expression.

• Breaking down a polynomial expression into its factors.

Given the factored form of the polynomial f\left(x\right)=\left(x+2\right)^2\left(x-5\right), describe the behavior at the roots. The graph will ​ (a)   at x = -2 because its multiplicity is ​ (b)   . The graph will ​ (c)   at x = 5 because its multiplicity is ​ (d)   .​

• bounce

• cut

• squiggle

• 2

• 1

• 0

• 5

How does a factor's degree affect the graph's behavior at the root?

• An ODD degree of 1 will CUT straight through the x-axis

• An EVEN degree will BOUNCE at the x-axis

• An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

• An ODD degree of 3 (or higher) will CUT straight through the x-axis.

• An EVEN degree will SQUIGGLE through the x-axis

Factor the polynomial completely.

• A

• B

• C

• D

Solve the following equation:

x⁴ + x² - 90 = 0

• 3, -3, ±√10

• 3, -3

• ±√10

• 3

Factor the polynomial completely.

• A

• B

• C

• D

Factor the polynomial completely.

• A

• B

• C

• D

Factor the polynomial completely.

• A

• B

• C

• D

Factor the polynomial completely.

• A

• B

• C

• D