Unit 7 Test Review

Classifying Polynomials

100

Classify the polynomial by the number of terms: 

-21x⁵-35x³+49x²

Trinomial 

200

Identify the degree of the polynomial: 

11x⁶-2x⁷+15x⁴

7

300

How many terms are in the polynomial? 

8xy⁴-22y³+15x⁴y²-88xy⁵z

4

400

Classify by degree the following polynomial: 

-2x⁴+3x²-15

quartic 

500

What is the leading coefficient of the following polynomial? 

5x⁴-22x²+17x⁶-3x+2

17

Adding/Subtracting

100

Simplify: (2k⁶+3k²-4k⁴) + (8k²-6k⁴+k⁶)

3k⁶-10k⁴+11k²

200

Simplify: (-3x²+4x³+7) + (5x³-x²+x)

9x³-4x²+x+7

300

Simplify: (2k⁶+3k²-4k⁴) - (8k²-6k⁴+k⁶) 

k⁶+2k⁴-5k²

400

Simplify: (5x²-3x+12) - (2x²-3x-7) 

3x²+19

500

Simplify: 

(8x⁵-9x³+7x) - (2x³+5x²) + (3x²-8x+1) 

8x⁵-11x³-2x²-x+1

Multiplying

100

Simplify: -3n²(-2n²+3n+4)

6n⁴-9n³-12n²

200

Simplify: (9p+2)(-4p+1)

-36p²+p+2

300

Simplify: (3x-2)(4x²+4x+5)

12x³+4x²+7x-10

400

Simplify: (3n+2)²

9n²+12n+4

500

(3x²-7x+5)(2x²-9x+4) 

6x⁴-41x³+85x²-73x+20

Factoring

100

Factor: x²+x-72

(x+8)(x-7) 

200

Factor: 5x²+20x-25

5(x+5)(x-1) 

300

Factor: 25x²-81y²

(5x+9y)(5x-9y)

400

Factor: 4x²-23x-6

(4x+1)(x-6)

500

Factor: 4x³-22x²+18x

2x(2x-9)(x-1)

Solving

100

Solve: x(x+2)=0

x=0, x=-2

200

Solve: 4x²=20x

x=0, x=5

300

Solve: 4x²+12x=72

x=-6, x=3

400

Solve: 2x²-3x+1=0

x=1/2, x=1

500

Solve: 35x³-11x²-6x=0

x=0, x=-2/7, x=3/5