Polynomials

Standard Form/Classifying

100

Classify the polynomial by the Exponent and type:

2x³

cubic and Monomial

200

Classify the polynomial by Exponent and Type.

 - 6a - 5

linear Binomial

300

Name the constant and classify.

-10k³ + k +1 

Constant: 1

Cubic Trinomial

400

Name the leading coefficient and type:

10a³ - 6a⁴

LC: 6 4th degree binomial

500

Classify the polynomial by Exponent, Type, and leading coefficient.

4x - 9x² + 4x³ - 5x⁴

degree 4, Polynomial, and LC: -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

Factoring

100

Factor:

2x² +4x⁴ +14x

2x(x+2x³+7)

200

Factor: 

x² - x - 6

(x+2)(x-3)

300

Factor:

2m²+3m-2

(2m - 1)(m + 2)

400

Factor:

12n² + 13n - 4

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

500

Factor

16x²-64y²

(4x-8y)(4x+8y)

Multiplying Polynomials

100

Multiply the Polynomials:

5x⁵(3x⁶ - 4x² - 1)

15x¹¹ - 20x⁷ - 5x⁵

200

Multiply the following Polynomials:

(3x - 2)(3x + 2)

9x² - 4

300

Multiply the Polynomials:

(2x + 4)²

4x² +16x + 16

400

Multiply the following Polynomials:

(x - 2)(x² + 3x - 4)

x³ + x² - 10x + 8

500

Multiply the Polynomials:

(2x - 3)(x² + 3x + 2)

2x³ + 3x² - 5x - 6