Algebra 2 Chapter 4 Review

Multiplying Polynomials

100

(2z²-5)²

4z⁴ - 20z² + 25

200

mn(m-n)(m-2n)

m³n-3m²n²+2mn³

300

(t-3)(2t²-t+2)

2t³-7t²+5t-6

400

(a+b)³

a³+3a²b+3ab²+b³

500

(x+y)²(x-y)²

x⁴-2x²y²+y⁴

Factoring Polynomials

100

4z²+19z+12

(4z+3)(z+4)

200

81x²−36xy+4y²

(9x-2y)²

300

250x³ +  2

2(5x + 1)(25x² - 5x + 1)

400

3z⁵−17z⁴−28z³

z³(3z+4)(z−7)

500

2x¹⁴−512x⁶

2x⁶(x⁴+16)(x²+4)(x+2)(x−2)

Solving Polynomial Equations

100

15x²+3x−8=5x−7

1/3, -1/5

200

x⁵ − 5x³ + 4x = 0

0,1, -1, 2, -2

300

4w⁴ + 28w³ +  49w²=0

0 (d.r.), -3.5 (d.r.)

400

9x³ – 4x = –18x² + 8

-2, 2/3, -2/3

500

(s-6)³=27(s-8)

0, 9 (d.r.)

Word Problems

100

The sum of a number and its square is 56. Find the number.

7, -8

200

A rectangular garden has an area of 120 ft² and a perimeter of 44 ft. Find the dimensions of the garden. 

10 ft by 12 ft

300

The side of a large tent is in the shape of an isosceles triangle whose are is 54 ft² and whose base is 6 ft shorter than twice its height. Find the height and the base of the side of the tent. 

9ft high and 12ft long base

400

A farmer plans to use 21 m of fencing to enclose a rectangular pen having area 55 m². Only three sides of the pen need fencing because part of an existing wall will form the fourth side.  Find the dimensions of the pen.

5 m by 11 m or 5.5 m by 10 m

500

A rancher plans to use 160 yd of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to the shorter sides of the corral.  Find the dimensions of the corral if it's area is 1000 yd².

20 yd by 50 yd