Algebra 2 Unit 4 Review

Factor Completely

100

x²+2x-48

(x+8)(x-6)

200

x⁴+5x²-14

(x²+7)(x²-2)

300

m³-7m²+10m

m(m-5)(m-2)

400

6m³+3m²+8m+4

(3m²+4)(2m+1)

500

42x³+6x²-35x-5

(3m²+4)(2m+1)

Solve the Polynomial

100

Solve: x²+6x+5=0

x= -5, -1

200

Solve: x²+3x-10

x= -5, 2

300

Solve: x³+3x²-10x+0

x= 0, 2, -5

400

Solve: x³+x²-4x-4=0

x= -2, -1, 2

500

Solve: x³-2x²-x+2=0

x= 2, 1, -1

Operations with Polynomials

100

(8r²-8r⁴-6)+(5r²+r⁴+3)

-7r⁴+13r²-3

200

(4+7n²+6n³)-(3n³-6-3n²)

3n³+10n²+10

300

(2r-6)(8r+4)

16r²-40r-24

400

(6b-5)(5b²-2b+2)

30b³-37b²+22b-10

500

(6x²+y)(6x²-y)

36x⁴-y²

Other Topics

100

What is the degree: 4x+3x²-2x⁵-3

5

200

Put in standard form: 3x²+4x-3+2x³

2x³+3x²+4x-3

300

Name the polynomial: 2x³+4x-2

Cubic Trinomial 

400

Use the Rational Root Theorem to find the possible rational roots of: f(x)=x³-x²-11x-10

Plus/Minus all of the following numbers: 1, 2, 5, 10

500

Describe the end behavior of f(x)=x³+11x²+35x+32

Down, UP