Classifying Polynomials and Combining Like Terms

• quintic binomial

• cubic trinomial

• constant binomial

• quartic binomial

Combine like terms (to put the polynomial in standard form).

• 2x² + 6x

• x² + 8x

• 2x⁴ + 6x

• 3x² + 6x

Look at the model. Which of the following algebraic expressions could it represent?

• 3x + 4 + 2x + 1

• 7x + 3x

• 3x + 2x

• 4 + 1

Put in Standard Form.
12 - 3x³ - 10x - x²

•  - 3x³ - x² - 10x + 12

•  3x³ - x² + 10x + 12

• 12 - 3x³ - 10x - x²
  It is in Standard Form.

• 12 - 10x - 3x³ - x²

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

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Add or Subtract to Simplify:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Add or Subtract to Simplify:
 (x² + 6x - 8) + (7 - 5x + 9x²)

• 10x² - x - 1 

• 10x² + x - 1 

• 8x² + 11x - 1 

• 10x² - 11x - 1 

Add or Subtract to Simplify:
 (x + 2x²) + (4x² + 7x)

• 6x² + 8x

• 8x² + 6x

• 2x² + 6x

• 2x² + 8x

Add or Subtract to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x