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

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(3n^3+7m+1)

Factoring

1

m²-6m-27

(m-9)(m+3)

2

y²-29x+78

(y-26)(y-3)

3

2y²-9y-18

(y-6)(2y+3)

4

n²+18n+81

(n+9)(n+9)

5

Factor: 

4x²-20x+25

(2x-5)(2x-5)

(2x-5)²

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

24x³+18x²-6x

6x(x+1)(4x-1)

5

Factor:

3m³n-12m²n-180mn

3mn(m+6)(m-10)

Factoring

1

 factoring:

x² - 25

(x-5)(x+5

2

Factor

3x² - 3x - 60

3(x-5)(x+4)

3

Solve by factoring:

5x² - x - 4

(5x+4)(x-1)

4

Factor:

98x-8x³

2x(7-2x)(7+2x)

5

Factor:

6w²-28w+32

2(w-2)(3w-8)