ADVANCED ALGEBRA LUKE AND CLAIRE

Synthetic Division

100

x^3+5/x+2

x^2-2x+4-3/x+2

200

2x^3-5x-7/x-2

2x^2+4x+3-1/x-2

300

5x^3-3x^2-6/x-1

5x^2+2x+2-4/x-1

400

3x^3-5x^2+4x+2/3x+1

3x^2-6x+6

500

3x^3-2x^2-7x+6/x+1

3x^2-5x-2+8/x+1

Finding Inverses

100

y=x-3

y=x+3

200

y=4x-5

y=x + 5/4

300

f(x)=4x+2

f^-1(x)=x/4 - 2/4

400

y=3x^2 + 2

y = + or minus radical x/3 -2/3

500

f(x)=2(x-5)^2

f^-1(x)= + or minutes radical x/2 + 5 (5 is outside the radical)

Simplifying Radicals

100

Radical 75x^3^5

5xy^2 radical 3xy

200

radical 18x^5y^4z

3x^2y^2 radical 2xz

300

cubed radical 320

4 cubed radical 5

400

radical 200a^2 b^5 c^3

10ab^2c radical 2bc

500

cubed radical 250r^4 s^10 t^15

5rs^3 t^5 cubed radical 2rs

Standard Form Polynomials

100

7x+5x^3

5x^3 + 7x

200

6x^2 + 3 + 4x^5

4x^5 + 6x^2 + 3

300

Identify the polynomial and put it in standard form : 8x^4

8x^4, quartic binomial

400

5x^4 - 3x + 4x^6 + 9x^3 -12 -x^6 + 3x^4, identify as well

3x^6 + 8x^4 + 9x^3 -3x - 12, 6th degree polynomial

500

Write the standard form polynomial using the following zeros, 2, -2, -3. Don't identify.

x^3 + 3x^2 - 4x - 12

Multiplying Radical Expressions

100

Radical 4x times radical 5x^3

2x^2 radical 5

200

radical 15n^2 times radical 10n^3

5n^2 radical 6n

300

radical 10ab^3 times radical 15ab

5ab^2 radical 6

400

-3 radical 7r^3 times 6 radical 7r^2

-126r^2 radical r

500

cubed radical 50x^2 z^5 times cubed radical 15y^3z

5yz^2 cubed radical 6x^2