Polynomial Test Review

Standard Form/Classifying

100

Classify the polynomial by the degree and number of terms:

2x³

Cubic Monomial

200

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Quadratic Binomial

300

Classify the polynomial by Degree and Number of Terms

a+ 7- 1a -6a⁴ + 10a³

Quartic Polynomial

400

Classify the polynomial by degree and number of terms

-10k⁵ + k +1 -3 -k +2

Quintic Monomial

500

Write an example of a quadratic monomial

Answers will vary- must have degree 2 and one term

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(2x)(x + 2)

2x² + 4x

300

Multiply the Polynomials:

(2x-3)^2

4x² -12x+9 

400

Multiply the Polynomials:

(4n - 1)(n + 11)

4n^2+43n-11

500

Multiply the Polynomials:

(6d+1)(d² - 4d + 1)

6d^3-23d^2+2d+1

Factoring Polynomials

100

Factor the polynomial:

100x-25

25(4x-1)

200

Factor the polynomial:

12c^8+9c^7-6c^5

3c^5(4c^3+3c^2-2)

300

Factor the polynomial:

x^2+8x-9

(x+9)(x-1)

400

Factor the polynomial:

2x^2+9x-18

(2x-3)(x+6)

500

Factor the polynomial:

81x^2+72x+16

(9x+4)^2