Multiplying and Dividing Polynomials

Multiplying polynomials by a constant

100

2(2x² + 2)

4x² + 4

200

2(4n² + 5n + 3)

8n⁴ + 10n + 6

300

3(5n³+4n²)

15n3+12n²

400

-5(5 + 3y²)

- 25 - 15y²

500

8(7 - 4z²)

56 — 32z²

Multiplying polynomials by a monomial

100

2x(3x² + 7)

6x³ + 14x

200

4e(2e + 5)

8e²+ 20e

300

-3u(-3 + 4u)

9u - 12u²

400

5n(-3 -10n + 4 n²)

-15n - 50n² + 20n³

500

7b²(7c²- 9c)

49b²c² - 63b²c

Dividing polynomials by monomials

100

16x² ÷ 4x²

4

200

4xy² ÷ 2x

2y²

300

(12xy - 15x²y²) ÷ (-3x)

-4y + 5xy²

400

15x² - 10x² ÷ x

15x - 10x

500

30xy ÷ 5x

6y

Dividing polynomials by a constant

100

57x⁶ ÷ 3

19x⁶

200

(6n² + 12n- 9) ÷ 3

2n² + 4n - 3

300

(54x - 27x²+36) / 9

6x - 3x²+4

400

(42x²+24x²y⁶)÷ (-6)

-7x² -4x²y⁶

500

(-30x^2 + 3x - 18) ÷ (-3)

10x² - x + 6

Challenge

100

2x(3x² - 6x)

6x³ - 12x²

200

(30y⁸-15y⁶+40y⁴) ÷ 5y⁴

6y⁴-3y²+8

300

5x²(3xy⁸z + 4x)

15x³y⁸z + 20x³

400

(6n³ + 96n⁶ - 117n³) ÷ 3n

2n² + 32n⁵ - 39n²

500

3a²b⁴c⁵(7a⁵b⁹c¹⁰d¹³ - 9abcd)

21a⁷b¹³c¹⁵d¹³ - 27a³b⁵c⁶d