Polynomials Review

Adding Polys

100

(x+7)+(x-3)

2x+4

200

(2x-4)+(3x+9)

5x+5

300

(-5x-9)+(8x+12)

3x+3

400

(3x²-2x+4)+(4x²+8x-10)

7x²+6x-6

500

(-8x²+13x-18)+(3x²-23x+28)

-5x²-10x+10

Subtracting Polys

100

(5x+10)-(2x+3)

3x+7

200

(12x-8)-(3x+5)

9x-13

300

(-4x-4)-(-4x-4)

0

400

(8x²+9x-5)-(3x²-3x+2)

5x²+12x-7

500

(-12²-4x+3)-(-4x²-13x-19)

-8x²+9x+22

Multiplying Polys

100

(x+2)(x+7)

x²+9x+14

200

(2x+4)(4x+2)

8x²+12x+8

300

(3x-4)(4x²-6x+3)

12x³-34x²+33x-12

400

(-5x-2)(-4x²+3x+6)

20x³-7x²-36x-12

500

(3x²-7x-3)(4x²+2x-1)

12x⁴-22x³-29x²+x+3

Poly Application

100

Find the perimeter of a triangle with the following dimensions

Side A: x+8

Side B: 2x-4

Side C: 12x+3

15x+7

200

Find the perimeter of a rectangle with a length of (x-2) and a width of (x+12)

4x+20

300

Find the area of a football field measuring (2x-4) by (4x+12).

8x²⁺8x-48

400

Find the volume of a rectangular prism with the lengths: (x+3)(x-7)(2x+1)

2x³-7x²-46x-21

500

A triangle has a perimeter of 3x²+4x+10.  Two sides are given: (x²+8x+2) and (x²-7x+2).  Find the length of the third side.

x²+3x+6

Grab Bag

100

What is our shortcut rule when subtracting polynomials?

Keep, change, change

200

When multiplying, you multiply _______ and add ______.

bases (big numbers), exponents

300

To be a like term you must have the same _____ and the same _____

variable, exponent

400

When completing your box you must always combine _____ ______.

like terms

500

What type of application problem do you have to make two boxes for?

Volume