Adding/Subtracting/Multiplying/Dividing/Factor Polynomials

Addition of Polynomials

100

Add:

(4x² + 2x) + (x² + 6x)

5x² +8x

200

Add:

(-3y² + y) + (4y² + 6y)

y² +7y

300

Add:

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

Add:

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

Add:

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

Subtract:

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

Subtract: 

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

Subtract: 

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

Subtract: 

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

Subtract: 

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Factoring Polynomials

100

Factor Completely:

2x²+19x=-44

(2x+11)(x+4)

200

Factor Completely:

4x²+24x+36

4(x+3)²

300

Factor Completely:

9x² - 25

(3x + 5)(3x - 5)

400

Factor Completely:

6x² - 20 = -2x

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

500

Factor Completely:

x² + 7x + 12

(x+3)(x+4)

Multiplying Polynomials

100

Multiply:

(x + 4)(x - 2)

x² + 2x - 8 

200

Multiply:

(a + 3)(a − 2)

a² + 1a − 6

300

Multiply:

(4m + 2)(4m + 5)

16m² + 28m + 10

400

Multiply:

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

Multiply:

(8n² + n − 4)(6n² − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Dividing and GCF

100

Factor out the GCF 

6x² - 12x - 36

6(x² - 2x - 6)

200

Divide:

(6x²+2x-20)/(x+2)

2(3x-5)

300

Divide:

(4x² - 25)/(x-5)

x+5

400

Factor the out the GCF:

5x³ - 3x² + 18x

x(5x² - 3x + 18)

500

How many terms are in a trinomial? 

Three