Algebra 1 Review

Classifying Polynomials

100

x⁴-3x²+2

Quartic trinomial

200

2x⁷

7th degree monomial

300

5x-2

linear binomial

400

7x³-10x²+5x-4

Cubic polynomial

500

5x²-10

Quadratic binomial

+/- Polynomials

100

(3x²-4) + (4x²+2)

7x²-2

200

(7x+7)+(-2x-10)

5x-3

300

(8x²-5x+4) - (-7x²+5x+1)

15x²-10x+3

400

(5x - 6)-(3x²+4x-6)

-3x²+x

500

3(x - 2) - 4(2x + 1)

-5x-10

Multiply Polynomials

100

5x(x-4)

5x²-20x

200

-x²(3x²-4x+5)

-3x⁴+4x³-5x²

300

(2x-5)(x+9)

2x²+13x-45

400

(x-10)²

x²-20x+100

500

(5x – 2)(3x² + 4x - 1)

15x³ + 14x² -13x +2

GCFs

100

What is the GCF of 12 and 18?

6

200

Factor: 14x - 28

14(x - 2)

300

Factor: 7x² + 35x

7x(x + 5)

400

Factor: 8x²y² + 12x

4x(2xy²+3)

500

Factor 4x³+6x²+10x

2x(2x²+3x+5)

Factoring

100

Factor Completely: 4x² - 25

(2x+5)(2x-5)

200

Factor Completely: 2x²+2x-40

2(x-4)(x+5)

300

Factor Completely: x³+3x²+2x+6

(x²+2)(x+3)

400

Factor Completely: 6x²+11x-10

(3x-2)(2x+5)

500

Factor Completely: 

2x³ + 3x² - 2x - 3

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