Polynomials

Simplifying Monomials

100

y∙y∙y∙y∙y

What is y⁵

200

(m³)⁵

What is m¹⁵

300

3s⁶∙2s³

What is 6s⁹

400

16d⁵*6d⁵

What is 96d¹⁰

500

(9y∙2x³)⁵ ----------

What is 18x¹⁵y⁵

Adding and Subtracting Polynomials

100

9p-4p

What is 5p

200

8y-(5y+3)

What is -3y-3

300

(8h²-2h)+(3h²+5h)

What is 11h²+3h

400

(2xy²-5xy+2y)-(xy²+3xy-6)

What is xy²-8xy+2y+6

500

(10a³+8a²b-4ab²-7b³)-(12a³-3a²b+5ab²+13b)+(-15a³-9a²b+ab²+7b³)

What is -17a³+2a²b-8ab²+13b

Throwing It All Together

100

x³(x+6)+9x⁴

What is 10x⁴+6x³

200

5n(2n³-3)–(2n²–3)(3n²+2)

What is 4n⁴+13n²–15n–6

300

3(2x³+7x²–6x–8)/(3x+12)

What is 2x²–x–2

400

3x³–5x²+4x+2 _________________ (2x+4)+(x–3)

What is 3x²–6x–6

500

(5x³y²(-x³y⁴-2x⁶y²+y⁴-3xy))²

What is 25x¹²y¹²+100x¹⁵y¹⁰+100x¹⁸y⁸–50x⁹y¹²–100x¹²y¹⁰+150x¹⁰y⁹+25x⁶y¹²+300x¹³y⁷–150x⁷y⁹+225x⁸y⁶

Multiplying Polynomials

100

(2x-3)(x+2)

What is 2x²+x-6

200

(6b+1)(7b²–3b–4)

What is 42b³–11b²–27b-4

300

3(5k+8)²

What is 75k²+240k+192

400

(4x²y–3xy²)(2x³y–6xy³)

What is 8x⁵y²–24x³y³–6x⁴y⁵+18x²y⁵

500

(x+2)⁴

What is x⁴+8x³+24x²+32x+16

Dividing Polynomials

100

(56b²–12b-108)÷(7b+9)

What is (8b–12)

200

(m²-6m+9)÷(m–3)

What is m–3

300

(x⁴–2x³+2x²–2x+1)/(x–1)

What is x³–x²+x–1

400

x⁶+4x⁴–4x–1 ____________________ x³–1

What is x³+4x+1

500

(3x⁵+2x³+x²–4x+1)–(2x⁵–2x⁴–x²–6x) ____________________ x+1

What is x⁴+x³+²+x+1