Unit 1 - Quiz 1 Review

Factor completely: 4n^3 - 10n^2 + 2n - 5

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

Factor completely: 64 + x^3

(4 + x)(x^2 - 4x + 16)

Factor completely: x^6 - 26x^3 - 27

(x - 3)(x^2 + 3x + 9)(x + 1)(x^2 - x + 1)

Factor completely: 2x^3 - 432

2(x - 6)(x^2 + 6x + 36)

The length of a rectangle is 2 cm less than twice the width. If the area is 84 square cm, find the dimensions of the rectangle.

7 cm by 12 cm

An open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. The original piece of cardboard was 28 in by 32 in. Write an equation to represent the volume in terms of x. Then, use it to determine the maximum volume.

V = 1980 in^3

State all of the possible roots for each function. Find all zeros: 5x^3 + x^2 - 5x - 1

possible: +-1, +-1/5 zeros: {1, -1/5, -1}

State all of the possible roots for each function. Find all zeros: 2x^3 - x^2 - 5x - 2

possible: +-2, +-1, +-1/2 zeros: {2, -1/2, -1}

Solve by factoring: 3p^2 - 4p - 4 = 0

{2, -2/3}

Solve by factoring: x^2 - 8x = 0

{8, 0}