Polynomials

Laws of Exponents

100

(a⁴)(a²)

a⁶

200

m⁷/m⁵

m²

300

(g⁴)³

g¹²

400

(x⁴y⁷)/(x²y¹⁰)

x²/y³

500

(3m²n³p⁶)²

9m⁴n⁶p¹²

Adding/Subtracting Polynomials

100

(x² + 4x) + (3x² + 2x)

4x² + 6x

200

6x + 10y - 13y + 12x

18x -3y

300

8g² + 8f² + 5g - 3f² + 2g

8g² + 5f² + 7g

400

(5m³ + 7m² - 2m) - (2m³ - 7m² + 10m)

3m³ + 14m² - 12m

500

(5k + 8m - 4d) + (-5k - 8m + 4d)

0

Multiplying and Dividing Polynomials

100

x(x + 9)

x² + 9x

200

2k(k² + 3k - 2)

2k³ + 6k² - 4k

300

(m + 5)(m - 3)

m² +2m - 15

400

(v - 2)(v² + 1)

v³ - 2v² + v - 2

500

(4m³ + 6m² - 2m)/2m

2m² + 3m - 1

Factoring Using GCF and Difference of Squares

100

Factor: 7m² + 49

7(m² + 7)

200

5m³ - 3m² + 7m

m(5m² - 3m + 7)

300

x² - 4

(x + 2)(x - 2)

400

49 - p²

(7 + p)(7 - p)

500

d³ - 9d

d(d + 3)(d - 3)

Factoring using T Chart and Slide and Divide

100

y² +11y + 28

(y + 7)(y + 4)

200

k² -12k + 20

(k - 2)(k - 10)

300

2h² +11h + 5

(2h + 1)(h + 5)

400

4t² + 4t - 15

(2t - 3)(2t + 5)

500

2x² + 14x + 3

Prime