Polynomials

Adding Polynomials

100

(5y + 1) + (1 - 5y)

2

200

(7a³ - 2a - 2) + (-5a + 3)

7a³ - 7a + 1

300

(8r² - 7r - 9) + (-r² + r)

7r² - 6r - 9

400

(-t⁴ - 5t³ - 10t²) + (9t³ + 3t² - 1)

-t⁴ + 4t³ - 7t² - 1

500

(-9a³ - a² - 3a⁵ - a⁴ - a) + (-6a⁴ - a - a⁵ - a³ - 3a²)

-4a⁵ - 7a⁴ - 10a³ - 4a² - 2a

Subtracting Polynomials

100

(4a³ - 3a - 8) - (a - 5)

4a³ - 4a - 3

200

(-4x⁴ + 6x² + 3) - (5x² - 3)

-4x⁴ + x² + 6

300

(6y² - 9y + 4) - (-7y² + 5y + 1)

13y² - 14y + 3

400

(-w³ + 8w² - 3w) - (4w² + 5w - 7)

-w³ + 4w² - 8w + 7

500

(2d⁵ - 2d⁴ + d² - 8d - 6) - (d⁵ + 7d² + 4d - 1)

d⁵ - 2d⁴ - 6d² - 12d - 5

Multiplying Polynomials

100

(-8a²)(-5a⁶)

40a⁸

200

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

-8w² - 10w + 3

300

(-9p + 11)(6p - 3)

-54p² + 93p - 33

400

(b² + 4b + 4)(-b + 3)

-b³ - b² + 8b + 12

500

(c² - 6)(2c² + 3c - 1)

2c⁴ + 3c³ - 13c² - 18c + 6

Factoring Polynomials

100

Factor 6x + 9

3(2x + 3)

200

Factor 14x⁴ + 6x²

2x²(7x² + 3)

300

Factor m² - n²

(m + n)(m - n)

400

Factor p² - 4p - 5

(p + 1)(p - 5)

500

Factor 15y² + 20y - 25

5(3y² + 4y - 5)

Solve

100

Solve for x: x² + 16x + 64 = 0

x = -8

200

Solve for x: x² + 3x - 4 = 0

x = 1, -4

300

Solve for x: 3x² + 18x + 27 = 0

x = -3

400

Solve for x: 3x² - 33x + 76 = 22

x = 2, 9

500

Solve for x: 5x² + 70x + 301 = 56

x = -7