Unit 7 Polynomials 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

Difference of Squares

100

Factor the polynomial

x²-1

(x-1) (x+1)

200

Factor the polynomial

x²-144

(x+12) (x-12)

300

Factor the polynomial

16x²-9 & 100x²-81

(4x-3) (4x+3) & (10x-9) (10x+9)

400

Factor the polynomial in the form (x+#) (x-#)

144x²-225

(12x-15) (12x+15)

500

Factor the polynomial

(81x²-81) & (36x²-1) & (49x²-4)

(9x-9) (9x+9) & (6x-1) (6x+1) & (7x-2) (7x+2)

Factoring GCF/ Special Products

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8

2(x+2)(x-2)

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor out the GCF

18n⁴+42n+6n²

6n(3n³+7+n)

Factoring

100

Factor (do not solve for x/ answer in the form (x+#) (x-#):

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

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

400

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

500

Factor:

n³ - 9n

n(n+3)(n-3)

Solve by Factoring

100

Solve by factoring:

x² - 25=0

x=-5 and x=5

200

Solve by factoring:

3x² - 3x - 60=0

x=-4 and x=5

300

Solve by factoring:

5x⁴+30x³+45x²=0

x=0, x=-3, x=3

400

Solve by factoring:

f(x) = 3x⁴-6x²+3

(x=1) (x=-1)

500

Solve by factoring:

f(x) = -2x⁴+16x²-32

x=2, x=-2