Review - Polynomials (2026)

Names

1

7x⁵

5th Degree Monomial

2

x² + 8x - 11

Quadratic Trinomial

3

8x³ + 25

Cubic Binomial

4

9x + 5

Linear Binomial

5

15

Constant Monomial 

Add and Subtract

1

(8+5x^4)+(5x^4-7x^2-3)

10x^4-7x^2+5

2

5m^4(8m+1)

40m^5+5m^4

3

(4v+3)(2v+5)

8v^2+26v+15

4

(1-a^2-2a^4)-(7a^4+2a^3)

-9a^4-2a^3-a^2+1

5

(6x² - 4x + 3x⁴) + (3x² + 5x⁴ + 6x)

8x⁴ + 9x² + 2x

Common Factor

1

x² + 7x

x(x + 7)

2

8x³ + 10x

2x(4x² + 5)

3

6x + 10

2(3x + 5)

4

6k⁷ - 3k⁴ + 9k³

3k² (2k⁴ - k + 3)

5

3x² + 8x + 11

3x² + 8x + 11

Factor Quad

1

x² - 11x + 30

(x - 6)(x - 5)

2

x² + 7x + 10

(x + 5)(x + 2)

3

x² - 3x - 28

(x - 7)(x + 4)

4

x² - 9

(x + 3)(x - 3)

5

p² - 12p + 35

(p - 5)(p - 7) 

Other

1

Name it:

8x⁷ + 12x⁵ - 9x + 10

7th Degree Polynomial 

2

(2)(5) = 10

2 and 5 are the ______

10 is the _______

factors, product

3

3b(8b - 1)

24b² - 3b

4

(6 - 8n - n²) - (2 - 4n² + 4n)

3n² - 12n + 4

5

Factor.

x² + 23x + 90

(x + 5)(x + 18)