Unit 7 - Polynomials Review

Adding Polynomials

1

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

2

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

3

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

4

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

5

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

1

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

2

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

3

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

4

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

5

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

1

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

2

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

3

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

4

Multiply the Polynomials:

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

12n² + 13n - 4

5

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring GCF/ Special Products

1

Factor out the GCF

30x-42

6(5x-7)

2

Factor out the GCF

5a³+2a²

a²(5a+2)

3

Factor:

2x² - 8

2(x+2)(x-2)

4

Factor:

4p² - 256

4(p+8)(p-8)

5

Factor out the GCF

18n⁴ + 42nm + 6n

6n(3n³ + 7m + 1)

Factoring

1

Factor:

p² +2p -35

(p-5)(p+7)

2

Factor:

z² - 4z - 21

(z+3)(z-7)

3

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

4

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

5

Factor:

n³ - 9n

n(n+3)(n-3)

Factoring Completely

1

Factor Completely:

3x³ - 6x² - 105x

3x(x² - 2x - 35)

3x(x - 7)(x + 5)

2

Factor Completely:

3x² - 3x - 60

3(x² - x - 20)

3(x - 5)(x + 4)

3

Factor Completely:

x⁴ - 4x³ - 32x²

x²(x² - 4x - 32)

x²(x + 8)(x - 4)

4

Factor Completely:

x⁴ - 11x² - 80

(x² + 5)(x² - 16)

(x² + 5)(x + 4)(x - 4)

5

Factor Completely:

2n⁴ - 50n² + 288

2(n⁴ - 25n² + 144)

2(n² - 16)(n² - 9)

2(n + 4)(n - 4)(n + 3)(n - 3)