Polynomials and Factoring

Classifying Polynomials

100

24

constant, monomial

200

3x + 12

linear, binomial

300

-7x² + 4x + 1

quadratic, trinomial

400

4a³ - 8

cubic, binomial

500

3x⁴ - x³ + 5x² + x - 7

quartic, polynomial

Simplifying Polynomials

100

2a³(5a² - 7a) + (3a⁴ - a⁵)

9a⁵ - 11a⁴

200

(2x² + 3x + 2) - (x² - 4x - 1)

x² + 7x + 3

300

(5y - 1)²

25y² - 10y + 1

400

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

2x² - xy - 15y²

500

(x + 4)(4x - 2) -2x²

2x² + 14x - 8

GCF

100

4a² + 3a

4(4a + 3)

200

14gh - 18h

2h(7g - 9)

300

ab - a

a(b - 1)

400

16xy² + 28xy + 8y

4y(4xy + 7x + 2)

500

12x⁶y + 16x²y⁴ + 32x³y²

16x²y(x⁴ + y³ +2xy)

Factoring Polynomials

100

54x³y - 18x²y² + 27xy²

9xy(6x² - 2xy + 3y)

200

9x² - 49y²

(3x + 7y)(3x - 7)

300

n³ - 5n² - 50n

n(n - 10)(n +5)

400

4m² - m - 14

(m - 2)(4m + 7)

500

14x³ - 7x² + 2xy - y

(7x² + y)(2x - 1)

Mixed

100

x³ -10x² + 21x

x(x - 7)(x - 3)

200

2w² + 38w + 140

2(w + 14)(w + 5)

300

8m² + 2m -3

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

400

5a² + 10ab -3a - 6b

(5a - 3)(a + 2b)

500

4x³ + 20x² - 9x - 45

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