Solve Polynomial Review

Factor completely:

x⁴ - 4x³ -4x² + 16x

• (x+4)(x+2)

• x(x+2)(x-2)(x-4)

• (x+4)(x-2)(x+2)

• x(x-4)(x-2)

Simplify: (x-2)(2x²-3x+5)

• 3x³-4x+7

• 2x³-4x²+5x-10

• 2x²-2x+3

• 2x³-7x²+11x-10

Name the factoring pattern

• Sum of Cubes

• Difference of Cubes

• Sum of Squares

• Difference of Squares

Name the factoring pattern

• Sum of Cubes

• Difference of Cubes

• Sum of Squares

• Difference of Squares

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

What is the correct name of the following:
3xy + 4x + 5y + 6

• monomial

• binomial

• trinomial

• polynomial

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 

• x + 2

• 2x² + x - 10 

• x - 10 

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴