Polynomial 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.

 - 6a - 5a²

Quadratic Binomial

300

Classify the polynomial by degree and number of terms.

8g²h³ - 7gh + 2

Quintic Trinomial

400

Name the leading coefficient and type according to number of terms:

10a³ - 6a⁴ + 2a² + a

-6, polynomial

500

Classify the polynomial by its degree, its number of terms, and leading coefficient.

4x - 9x² + 4x³ - 5x⁴

Quartic, Polynomial, and -5

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:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factor Polynomials

100

Factor the polynomial:

24x + 48y

24(x + 2y)

200

Factor the polynomial:

x² + 2x + x + 2

(x + 1)(x + 2)

300

Solve the equation:

x² - 4x = 5

-1, 5

400

Factor the polynomial, if possible:

16r² - 8r + 1

(4r - 1)(4r - 1)

500

Factor the polynomial:

8m³ - 128m

8m(m + 4)(m - 4)