Multiplying and Dividing Polynomials

Multiplying Monomials

100

(3y)(7y)

21y²

200

(3a)(-8ab)

-24a^2b

300

(-5q²r)(-4q)

20q³r

400

(-10m⁴n⁷)(-3m⁴n) 

30m⁸n⁸

500

(2ab²c²)(4a³b²c²)

8a⁴b⁴c⁴

Multiplying Polynomials

100

2x²(3x² + 7)

6x⁴ + 14x²

200

4e³(2e⁵ + 5)

8e⁸ + 20e³

300

(-3w)(w + 3y - 2) 

-3w² - 3wy + 6w

400

-ab(a⁴ – a⁴b⁴ – b⁴)

-a⁵b + a⁵b⁵ + ab⁵

500

7ab²c⁷(7b⁴c⁹g⁴v⁷ - 9a)

49ab⁶c¹⁶g⁴v⁷ - 63a²b²c⁷

Dividing Monomials

100

(16x²) ÷ (4x²)

4

200

-40m
-8m

5

300

(8x⁵y²) ÷ (-8x²y)

-x³y

400

-45s³tu⁹
7s²tu⁵

-9su⁴

500

-96p⁷q⁵r
-4p⁵q⁴

24p²qr

Dividing Polynomials

100

(15x² - 10x³) ÷ (x)

15x - 10x²

200

16y² + 8y
8y

2y + 1

300

(6n² + 12ny⁷ - 9) ÷ (3ny)

18n + 36y⁶ - 27ny

400

42x² + 24x²y⁶ 
6xy⁴

7xy⁴ + 4xy²

500

(30xy⁴ - 3x + 18y³z⁶) ÷ (3xyz²)

10y³z² - yz² + 6xy²z⁴

CHALLENGE: Multiplying and Dividing

100

2x(3x² - 6x)

6x³ - 12x²

200

30y⁸ - 15y⁶ + 10y⁴ 
5y⁴

6y⁴ - 3y² + 2

300

5x²y⁶(3xy⁸z + 4x)

15x³y¹⁴z + 20x³y⁶

400

(6p³ + 96 - 27q⁷s³) ÷ (3s)

2p³s + 32s - 9q⁷s²

500

a²b⁴c⁵(7a⁵b⁹c¹⁰d¹³ - 9abce²f)

7a⁷b¹³c⁵d¹³ - 9a³b⁵c⁶e²f