Unit 6 (Final) Review

Parts of a Polynomial

100

5x²

In this expression, what is the coefficient?

5

200

4x² + 3x 

In this expression, what is the variable? 

X

300

5x⁴ + 8x³ - x² + 6

In this expression, what are the exponents? 

4, 3, and 2

400

7x⁴ - x² + x - 3

In this expression, what are the coefficients AND the variables? 

Coefficients - 7, -1, 1, and -3

Variable - X

500

Write a polynomial with a negative coefficient, a variable of y, and an exponent of 3. 

Example : -2y3

Adding Polynomials

100

4x³ + 7x³

11x³

200

7x² + 4 + 9x² + 4x³

4x³ + 16x² + 4 

300

(3x² - 2) + (x² + 3)

4x² + 1

400

(4x⁴ + 8) + (2x⁴ - 3x² + 2)

6x⁴ - 3x² + 10

500

(-4x² + 3x - 1) + (8x² - x + 5)

4x² + 2x + 4 

Subtracting Polynomials

100

4x³ - 7x³

-3x³

200

7x² - 4 - 9x² - 4x³

-2x² - 4x³ - 4

300

(3x² - 2) - (x² + 3)

2x² - 5 

400

(4x⁴ + 8) - (2x⁴ - 3x² + 2)

2x⁴ + 3x² + 6 

500

(-4x² + 3x - 1) - (8x² - x + 5)

-12x² + 4x - 6 

Multiplying Polynomials

100

3x²  x  4x³

12x⁵

200

2x (5x + 3)

10x² + 6x

300

(3x + 2)(4x - 1)

12x² + 5x -2

400

(5x - 2)²

25x² - 20x + 4

500

(4x² - 2)(5x + 4)

20x³ + 16x² - 10x - 8

Random

100

(5x² + 4) + (7x² - 3)

12x² + 1 

200

9 - 4x + 6x² - 2x³ 

Write this equation in standard form.

-2x³ + 6x² - 4x + 9

Biggest to smallest exponent! 

300

(x + 6)(x - 6) 

x² - 36

400

(9x + 7) - (5x + 3)

4x + 4 

500

2x² (8x² + 4xy + 3y³)

16x⁴ + 8x³y + 6x²y⁵