Polynomials & Factoring

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:

(2x² - 3x) - (x² -2x + 4)

x² - x - 4

Multiplying Polynomials

100

(3x)(2y)

6xy

200

(3x²)(2x+4)

(6x³+12x²)

300

4x(x-2)^2

4x^3-16x^2+16x

400

(2x-3y+6)(3y)

6xy-9y²+18y

500

(3x²+8x-2)(4x+2)

12x³+38x²+8x-4

Multiplying Binomials

100

(x + 6) (x + 3)

x² +9x +18

200

(3x - 4)(2x + 5)

6x² + 7x - 20

300

(x - 8)(2x + 3)

2x² - 13x - 24

400

(y + 9) (y + 9)

y² + 18y + 81

500

(x - 12)(x + 12)

x² - 144

Random Polynomial Math

100

The zeros of a function represent these of a graph.

x-intercepts

200

What is the GCF of the following:

- 3x² - 3x - 60

-3 or 3

300

Factor completely. 

x³ + 4x² + 6x + 24

(x² + 6)(x + 4)

400

Find the area of a rectangle with a width of 3x + 5 and a length of 3x² + 6x - 10.

9x³ + 33x² - 50

500

Factor completely. 

32x³ - 40x² + 64x - 80

8(x² + 2)(4x - 5)

Even More Random Polynomials

100

The degree of this polynomial: 

x³ - 7x² + 4x⁵ - 19x⁷

7

200

Classify by its degree and number of terms:

10x

Linear Monomial

300

A constant polynomial has a degree of this.

0

400

Rewrite this polynomial in standard form 

-6a⁴ + 10a³ + 14a⁷ - 22a² + 33

14a⁷ - 6a⁴ + 10a³ -22a² +33

500

Refers to the highest exponent in a polynomial, or the exponent on a specific term

Degree