Polynomials and Polynomial Functions

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²) = _________

Classify by the DEGREE:
4x³ - 5x² + 2x - 1.

Degree is ______

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4? The degree is ______

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

In the above graph, which root has a multiplicity of 2? Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• -1

• -3

• -120

• 4

What is the degree of the following function?
y = 25 - x² . The degree is _____

Simplify by combining like terms:
5a + 2b - 3a + 4 =. ___________