Polynomial Review

Vocabulary

100

What is a polynomial with 2 and 3 terms called?

Binomial and Trinomial

200

What is the degree of this polynomial?

x²-2x³-9x+10

3

300

Write this is in standard form. 

7x² - 5 + 3x - 6x³ + x⁴

x⁴ - 6x³ + 7x² + 3x - 5

400

What is the leading coefficient of this polynomial?

x² - 2x - x³ - 9

-1

500

Classify polynomials with degrees 0, 1, 2, and 3. 

Constant

Linear

Quadratic

Cubic

Adding/Subtracting

100

When you add or subtract polynomials, all you have to do is  ______________ _________ ___________

Combine like terms. 

200

Simplify.

(x² - 3x + 2) + (-5x - x² - 8)

-8x - 6 

300

(7x³ + 5x² + 5x) + (4x³ + 8x - 7x⁴)

-7x⁴ + 11x³ + 5x² + 13x

400

(8 + 3x³ + 6x) - (-x + 8x³ - 7 - 3x²) 

- 5x³ + 3x² + 7x + 15

500

(5x³ + 4x²) - (-5x³ + 2x⁴ + 7) + (6x - 5x⁴)

-7x⁴  +10x³ + 4x² + 6x - 7

Multiplying

100

(3x²)(-4x)

-12x³

200

4ab(-3a²b⁴ - 8a²)

-12a³b⁵-32a³b

300

(2x² - 3x) (4x - 2)

Your answer must be simplified and in standard form. 

8x³ - 16x² + 6x

400

-9x(3x+4)+3(x²+4)

Your answer must be simplified completely and in standard form. 

-24x² - 36x + 12

500

(-3x² + x³)(x³ - x² + 7x)

Your answer must be simplified and in standard form. 

x⁶ - 4x⁵ + 10x⁴ - 21x³

Factoring/Zeros

100

Factor completely. 

9x²+3x

3x(3x+1)

200

Find the zeros.

x² - x - 72

9 and -8

300

Find the zeros. 

x²-36

-6 and 6

400

Find the zeros.

2x² + 9x + 10

-2 and -5/2

500

Find the zeros. 

3x³ - 15x² + 18x 

0, 2, and 3

Factoring/Zeros

100

How do you find the zeros of a function looking at a graph?

See where the functions crosses the x-axis. 

200

What are the three other names for "zeros"?

X-intercepts, Roots and Solutions

300

Find the zeros.

3x³ - 48x

-4, 0, 4

400

Factor completely.

6x² - 13x = -6

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

500

Find the zeros.

6x² + 7x - 3

1/3 and -3/2