Unit 9 Summative Review

Solving Polynomials

100

Solve:

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

x=3 and x=-4

200

(4x+8)(x-16)=0

x=-2 and x=16

300

x²-12x-13=0

x=13 and x=-1

400

4x(2x+1)(x-5)=0

x=0 and x=-1/2 and x=5

500

-6x²+14x-4=0

x=1/3 and x=2

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:

3(3x)

9x

200

Multiply the Polynomials:

(3x)(2y)

6xy

300

Multiply the Polynomials:

3x(2x²+4x+3)

6x³+12x²+9x

400

(4x+2)(4x-3)

16x²+4x-6

500

(2x²+2)(2x²-3x+6)

4x⁴-6x³+16x²-6x+12

Factoring Polynomials

100

Factor: 

x²+10x+16

(x+2)(x+8)

200

-x²-3x+28

(-x+4)(x+7)

300

10n²-26n+12

2(5n-3)(n-2)

400

p³+9p²+4p+36

(p²+4)(p+9)

500

4d³+16d²+20d+80

4(d²+5)(d+4)