Review: Unit 4 Part 2

Synthetic Division

100

(x^3+18x^2+72x-81)\div (x+9)

x^2+9x-9

200

(5n^3+40n^2+34n-7) \div (n+7)

5n^2+5n-1

300

(k^3+8k^2+5k-42) \div (k+6)

k^2+2k-7

400

(b^4+3b^3+3b^2-16b+9) \div (b-1)

b^3+4b^2+7b-9

Rational Root Theorem

100

5x^3-31x^2+31x-5

Possible Rational Zeros: 

+-1,+-5,+-\frac{1}{5}

Rational Zeros: 

{5, \frac{1}{5}, 1}

200

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

Possible Rational Zeros: 

+-1,+-\frac{1}{5}

Rational Zeros: 

{-1, \frac{1}{5}, 1}

300

5x^3+11x^2+7x+1

Possible Rational Zeros:

+-1, +-\frac{1}{5}

Rational Zeros: 

{-\frac{1}{5}, -1}

400

2x^3+5x^2+x-2

Possible Rational Zeros:

+-1, +-2, +-\frac{1}{2}

Rational Zeros:

{-2, \frac{1}{2}, -1}

Sketching Graphs

100

x(x-5)(x+1)

{0, 5, -1}

200

x(x-5)(x+1)^2

{0, 5, -1}

300

(x-1)(x+1)(x^2-3)

{1,-1, sqrt3, -sqrt3}

400

(x-5)(x^2+8x+3)

{5, -4+sqrt13, -4-sqrt13}

Trivia

100

What was the first state in the United States?

Delaware

200

What is the largest state in the United States by landmass?

Alaska

300

This is the largest organ in the human body

The epidermis (or skin)

400

Name all five of the Great Lakes.

Erie, Huron, Ontario, Superior, Michigan