a1 chap. 7

+/- polynomials

100

2m + 3n + 6mn + 5m + mn

7mn + 7m + 3n

200

4 + 2x² - 3x - 2x² - 9

-3x - 5

300

(2x³ - 3x² + 6x - 2) + (7x³ + 5x² + x - 4)

9x³ + 2x² + 7x - 6

400

(-4x⁴ - x³ + 6x² - x) - (7x³ + 5x² + x - 4)

-4x⁴ - 8x³ + x² - 2x + 4

500

(12x³ - x² + 11x - 10) - (x³ - 4x² + 2x)

11x³ + 3x² + 9x -10

x monomials

100

(-5x²y)(7x³y⁴)

-35x⁵y5

200

(5x²y²)(-9x²y)

-45x⁴y³

300

-8xy³(3x³y - 2x²y² - xy³)

-24x⁴y⁴ + 16x³y⁵ + 8x²y⁶

400

(2x³y³)(5x¹⁰)

10x¹³y³

500

3x³y⁵(9x⁶y⁴ - 4x²y⁴ + 3xy⁶)

27x⁹y⁹ - 12x⁵y⁹ + x⁴y¹¹

x binomials

100

(x + 3)(3x + 1)

3x² + 10x + 3

200

(x - 3)(x - 2)

x² - 5x + 6

300

(2x + 5)(x + 3)

2x² + 11x + 15

400

(6x - 1)(x + 6)

6x² + 35x - 6

500

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

10x² - 29x + 10

x polynomials

100

(x + 3)(x² + 3x + 9)

x³ + 6x² + 18x + 27

200

(3x + 2)(x² - 6x - 3)

3x³ - 16x² - 21x - 6

300

(x + 3)(x² + x + 12)

x³ + 4x² + 15x + 36

400

(x² - 3x - 4)(x² - 4x - 3)

x⁴ - 7x³ + 5x² + 25x + 12

500

(2x² + 5x + 1)(4x² - 7x + 9)

8x⁴ + 6x³ - 13x² + 38x + 9

÷ polynomials

100

30x⁶ ÷ 6x²

5x⁴

200

-10xy²z³ ÷ (-5xz²)

2y²z

300

(8x³ -12x² + 20x) ÷ 4x

2x² - 3x + 5

400

(x³/y⁴)²

x⁶/y⁸

500

(x⁴/y⁵)³

x¹²y¹⁵