Polynomial Algebra Review

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Divide
 (m²-7m-11) by (m-8).

• m+2 R5
• m+1 R(-3)
• m-4
• m-8 R1

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

• 4
• 7
• 2
• 11

How many real zeros does the polynomial function below have?
P(x) = x³+2x²+9x+18 

• 0
• 1
• 2
• 3

Find all the factors of the polynomial below. Use synthetic division and the rational root theorem to assist!
x⁴ - 16

• (x² + 4)(x + 2)(x - 2)
• (x + 2)(x - 2)(x + 2)(x - 2)
• (x² - 4)(x² + 4)
• (x - 4)(x+ 4)

Factor completely:
x³ + 3x² - 4x - 12

• (x + 3)(x² - 4)
• (x + 3) (x + 2)(x - 2)
• (x² + 4) (x - 3)
• (x² + 3)(x - 4)

What is the degree of the function:
f(x)=4x(3x+7)(x+5)³(x²-3)

• 5
• 6
• 7
• 3

Divide using long or synthetic division
(n²+10n+18) by (n+5).

• n+4 R2
• n-7 R5
• n+5 R(-7)
• n+1 R0

Divide using long or synthetic division 
(4x³-2x²-3) by (2x²-1).

• 2x-1 R(2x-4)
• 2x+3 R(x-3)
• 2x-1 R0
• 2x+3 R(3x-5)

Divide using long or synthetic division 
(2x³+4x²-5) by (x+3).

• 2x²+2x-4 R(-12)
• 2x²-2x+6 R(-23)
• 2x²-2x+8 R(-20)
• 2x²-4x+1 R0