Topic 7 Review

Add/Subtract Polynomials

100

When Adding or Subtracting Polynomials what do you look to combine?

Like Terms

200

Simplify:

(3x²-8x)+(-2x²+3x)

x²-5x

300

Simplify:

(4x³+2x⁴)-(8x³-6x⁴)

8x⁴-4x³

400

Simplify:

(x²-6x+3)+(7x²+3x+7)

8x²-3x+10

500

Simplify:

(x²+8-x⁴)-(6x²+6x⁴+6)

-8x⁴-5x²+2

Product Property

100

When multiplying variables what do you do with their exponents?

Add them together

200

Simplify:

(x³)(x)

x⁴

300

Simplify:

(a³)(3a²)

3a⁵

400

Simplify:

(3x⁴)(2x)

6x⁵

500

Simplify:

(4x³)(3x⁴)

12x⁷

Power Property

100

When raising an exponent to another exponent what do you do with the exponents?

Multiply them together

200

Simplify:

(x³)²

x⁶

300

Simplify:

(x¹⁰)⁵

x⁵⁰

400

Simplify:

(3x²)⁴

81x⁶

500

Simplify:

(4x¹²)²

16x²⁴

Distribution

100

What does it mean to do distribution?

Multiply a term by every single term in the other polynomial

200

Find Each Product:

2(6x²-2x-1)

12x²-4x-2

300

Find Each Product:

7(4x²+4x-7)

28x²+28x-49

400

Find Each Product:

8x(2x²+5x-1)

16x³+40x²-8x

500

Find Each Product:

2x²(3x²+4x-5)

6x⁴+8x³-10x²

Multiplying Polynomials

100

We used two methods for multiplying polynomials. Can you name both?

Box Method and Distribution

200

Find Each Product:

(x+2)(x+5)

x²+7x+10

300

Find Each Product:

(3x+2)(4x+4)

12x²+20x+12

400

Find Each Product:

(3x+4)(7x-3)

21x²+19x-12

500

Hidden Bonus Question (worth 2x points):

Set up the Box Method for the following. (you do not need to solve it)

(x²+2x-4)(x³+4x²-2x+10)

Answers will be checked manually