Polynomials and Factoring

Classifying Polynomials
What type of polynomial is this and what is its degree?
5b³ - 3 + 6b 

• 3rd degree binomial
• 3rd degree monomial
• 3rd degree trinomial
• 1st degree polynomial

Adding Polynomials
Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x
• 16x⁴  + x² + 14x
• 11x⁴  + x² + 14x
• 11x⁴  + 2x² + 10x

Subtracting Polynomials

• A
• B
• C
• D

Multiplying Polynomials
(3x - 5)(x² - 5x +6)

• 3x³ - 20x² + 43x - 30
• 3x^{2 -} - 43x
• 3x³ -25x -30
• 3x³ +25x

Dividing Polynomials
(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

Power Function
f(x)= x²(x – 2)³(x – 7)
Find the Power Function 

• f(x)= x²
• f(x)= x³
• f(x)= x⁵
• f(x)= x⁶

Zeros
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=3, x=2
• x=4, x=3, x=2

Zeros
How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Graphing polynomials

• a
• b
• c
• d

Creating Polynomials
Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)