Polynomial Review

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 using Algebra Tiles:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

Distributive

100

Distribute Property to Factor

27y²+18y

9y(3y+2)

200

Distribute Property to Factor

-4a²b-8ab²+2ab

2ab(-2a-4b+1)

300

Distribute Property to Factor

5c²v-15c²v²+5c²v³

5c²v(1-3v+v²)

400

Distribute Property to Factor

2k²+4k

2k(k+2)

500

Distribute Property to Factor

4a²b²+2a²b-10ab²

2ab(2ab+a-5b)

Group Factor

100

Factor

fg-5g+4f-20

(g+4)(f-5)

200

Factor

3dt-21d+35-5t

(3d-5)(t-7)

300

Factor

21th-3t-35h+5

(3t-5)(7h-1)

400

Factor

xy-2x-2+4

(x+1)(y-2)

500

Factor

45pq-27q-50p+30

(9q-10)(5p-3)

Solve & Check

100

Solve

3b(9b-27)=0

b= 0, 3

200

Solve

b²=-3b

b= 0, -3

300

Solve

2n(3n+3)

n= 0, 1

400

Solve

a²=4a

a = 0, 4