Unit 7 Polynomials Review

Add/SubtractPolynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

300

Subtract the polynomials:

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

-2g + 2

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

Mult/Divide Polynomials

100

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

200

Divide the polynomial

(10x^3+6x^2+24x-18)/2

5x³+3x²+12x-9

300

Multiply the Polynomials:

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

12n² + 13n - 4

400

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

500

Divide the polynomial

(9x^3+6x^2-18x)/(3x)

3x²+2x-6

Factoring GCF

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

12x² +14

2(6x²+7)

400

Factor:

-40x +4x⁴

4x(-10+x³)

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Solving Equations

100

(x-5)(x+7)=0

x=5 and x=-7

200

(2x+1)(x-3)=0

x=-1/2 and x=3

300

3x(x-4)(3x-2)=0

x=0, x=4 and x=2/3

400

7x² +14x=0

x=0 and x=-2

500

4x² +6x=0

x=0 and x=-3/2

Factoring Trinomials

100

x²+14x+45

(x+5)(x+9)

200

Factor:

p² +2p -35

(p-5)(p+7)

300

x²-3x-54

(x+6)(x-9)

400

Solve by factoring:

x² - 17x +70

(x-7) and (x-10)

500

3x²+8x+5

(3x+5)(x+1)