Polynomials

Evaluate the Polynomial

100

Evaluate  for x = 1

f(x) = x² + 2x + 4

7

200

Evaluate  for x = 0

f(x) = 2x² + 8x + 19

19

300

Evaluate  for f(-3)

f(x) = x² - 3x + 15

33

400

Evaluate  for x = 8

f(x) = 2x² - 7x + 15

87

500

Evaluate  for f(1/2)

f(x) = 8x² + 9x + 11

17.5

Adding and Subtracting Polynomials

100

Simplify 

(x² + 3x + 7) + (8x - 5)

x² + 11x + 2

200

Simplify 

(3x² + 9x + 5) - (x² + 4x + 5)

2x² + 5x

300

Simplify 

(x³ + 4x - 7) + (6x² + 28x - 12)

x³ + 6x² + 32x - 19

400

Simplify 

(4x² - 7x + 13) - (x² + 8x - 12)

3x² - 15x + 25

500

Simplify 

(2x² - 5x + 18) + (11x² - 10) - (4x² - 13x + 1)

9x² + 8x + 7

Multiplying Polynomials

100

Simplify 

8(3x + 6)

24x + 48

200

Simplify 

4x²(9x - 5)

36x³ - 20x²

300

Simplify 

(x + 3)(x + 5)

x² + 8x + 15

400

Simplify 

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

12x² - 10x - 8

500

Simplify 

2x(x + 5)(x - 6)

2x³ - 2x² - 60x

Greatest Common Factor (GCF)

100

The GCF of 

6x + 18

6

200

Write in Factored Form 

4x + 10

2(2x + 5)

300

Write in Factored Form 

5x³ + 9x²

x²(5x + 9)

400

Write in Factored Form 

9x² - 15x

3x(3x - 5)

500

Write in Factored Form 

14x⁷ + 70x⁴

14x⁴(x³ + 5)

Factoring Polynomials

100

Factor 

x² + 7x + 10

(x + 2)(x + 5)

200

Factor 

x² + 7x - 8

(x - 1)(x + 8)

300

Factor 

x² - 14x + 48

(x - 6)(x - 8)

400

Factor 

2x² + x - 3

(2x + 3)(x - 1)

500

Factor Completely 

6x² + 2x - 28

2(x - 2)(3x + 7)