Chapter 7 Review

Add/Subtract Polynomials

100

Find the Sum:

(5x³-4+x⁴) + (1+2x³-5x⁴)

-4x⁴ + 7x³ - 3

200

Find the difference: 

(3+x²+7x⁴) - (4x² -7x⁴+4)

14x⁴ -3x² - 1

300

Find the sum:

(x+5x²+6x⁴) + (x-x⁴)

5x⁴+5x²+2x

400

Find the difference:

(8x-2x⁴+8) - (5 -8x)

-2x⁴ +16x +3

500

Simplify:

(-x+8x⁴) + (-7x+8x⁴+8x²)-(x²-3x⁴)

19x⁴+7x²-8x

Multiply/Solve Polynomials

100

Find the Product:

(-2x+4)(-4x-7)

8x² - 2x - 28

200

Solve for the roots:

(-2x+14)(6x-4)=0

x=7 , x=2/3 

300

Solve for the roots:

40x² +16x = 0

x=0 , x=-2/5

400

Find the Product:

(6x-3)(4x² -8x -4)

24x³ - 60x² + 12

500

Find the Product:

(-x+2y)(-7x-4y)

7x² - 10xy - 8y²

Factor Polynomialsa=1

100

Factor:

x² - 17x +52

(x-4)(x-13)

200

Factor:

x² + 6x -72

(x+12)(x-6)

300

Completely Factor:

4x² + 60x + 200

4(x+5)(x+10)

400

Completely Factor:

5x²+5x-280

5(x+8)(x-7)

500

Completely Factor:

8x² + 80x - 448

8(x+14)(x-4)

Factor Polynomialsa does not = 1

100

Factor:

2x² + 19x + 35

(2x+5)(x+7)

200

Factor:

9x² + 27x + 14

(3x+2)(3x+7)

300

Factor Completely:

9x² + 78x + 48

3(3x+2)(x+8)

400

Completely Factor:

10x² + 22x - 24

2(x+3)(5x-4)

500

Completely Factor:

18x² - 15x - 18

3(3x+2)(2x-3)

Area & Perimeter Problems

100

Find the AREA of a square with a side length of (4x - 3) inches.

16x² - 24x + 9 in²

200

Find the Perimeter of a square with the side length (x²+4x-5) cm

4x² + 16x - 20 cm

300

Find the Perimeter of a rectangle with a width of (2x-3) and a length of (5x+1).

14x - 4

400

Write a polynomial that represents the Shaded Area of the square:

27x² + 48x + 21 in²

500

The football field is a regular rectangle. If the width is equal to 160 feet, what is the area of the football field?

57,600 ft²