Algebra 1- Polynomial Review

Vocabulary

100

What is the degree of this polynomial?

-2x² + 8x - 5

Quadratic

200

What is the degree of this polynomial

-2x² + 8x - 5x⁴

Quartic

300

Classify by number of terms.

-2x² + 8x + 5x⁴

Trinomial

400

Give an example of a quintic binomial

-5x⁵ - 2x²

500

Classify by degree and number of terms.

-5x⁴ + 7 + 9x³- 2x² + 5x⁴ - 7 + 2x²

Cubic monomial

Adding or Subtracting

100

(4x⁵ + 6x³ - 9x) + (-7x⁵ - 2x³ + 4x)

-3x⁵ + 4x³ - 5x

200

(3x² + 5) - (x² + 2)

2x² + 3

300

( 10x² + 4x - 5 ) + ( -3x² +-2x -1)

2x² + 3

400

( 3x² + x - 6 ) + ( x² + 4x + 10)

4x² + 5x + 4

500

2(5x² - 3x - 1) + 4x(-3x + 2)

-2x² - 2x - 2

Multiplying

100

2x³ ( x³ + 3x² - 2x + 5)

2x⁶ + 6x⁵ - 4x⁴ + 10x³

200

( x - 4) ( 3x + 2)

3x² - 10x - 8

300

(x - 2) (3x + 4)

3x² - 2x - 8

400

(4x-3)²

16x² - 24x + 9

500

( 2x² + 5x - 1) (4x - 3)

8x³ + 14x² -19x +3

Factoring using GCF

100

Factor out the Greatest Common Monomial Factor:

42m + 12n

6(7m + 2n)

200

Factor out the Greatest Common Monomial factor:

18x + 24x²

6x(3 + 4x)

300

Factor using the Greatest common monomial factor:

24x³ + 4x⁴

4x³ (x + 6)

400

Factor using the greatest common monomial factor:

2x² + 6xy

2x( x + 3y)

500

Factor using the greatest common monomial factor:

2z³y - 8zy³

2zy(z² - 4)

Factor

100

x² + 7x + 12

(x + 3)(x + 4)

200

x² - 11x + 24

(x - 8)(x - 3)

300

2x² - 5x - 3

(2x - 1)(x + 3)

400

8x² - 18x + 7

(4x - 7)(2x - 1)

500

40x³ + 30x² - 100x - 75

5(2x² - 5)(4x + 3)