Polynomials Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -4x² +6x)

-3x²+9x + 5

400

Add the polynomials:

(6t² + 8t³ - 7) + (2 + 7t² - 4t³) 

4t³ + 13t² - 5

500

Add the polynomials: 

(-1 + x² + 2x) + (1 - 2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(10g + 4) - (3g - 6)

7g + 10

200

Subtract the polynomials:

(-5h - 2) - (7h + 6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² - 2x - 8)

2x² + 2x + 3

400

Subtract the Polynomials:

(8k² + 6k³ - 4) - (5k³ + 7k - 3k²)

k³ + 5k² -7k - 4

500

Subtract the Polynomials:

(11x⁴ - 3x²) - (3x² - 2x + 4x⁴)

7x⁴ - 6x² + 2x

Multiplying Polynomials

100

Multiply the Polynomials:

3x (2x - 10)

6x² - 30x

200

Multiply the Polynomials:

(x + 4) (x + 5)

x² + 9x + 20

300

Multiply the Polynomials:

(x + 3)²

x² + 6x + 9

400

Multiply the Polynomials:

(y + 5)( 2y - 6)

 3y² + 4y - 30

500

Multiply the Polynomials:

-4 (2x² + 6x - 3)

-8x² - 24x + 12

Random

100

Multiply the polynomials:

(x - 5)(x + 5)

x²  - 25  

200

When adding polynomials, what happens to the exponents?

They remain the same

300

To put a polynomial in standard form you must be writing terms in descending order from highest ________ to lowest _________.

Degree      -      Degree

400

Name a method commonly used to multiply polynomials.

FOIL     or

BOX method

500

Rewrite in standard form:

-2x + 4x³ + x⁴ + 1 + 8x⁵

8x⁵ + x⁴ + 4x³ - 2x +1

Naming Polynomials

100

3x+5

Linear Binomial

200

3x³+12x+1

Cubic Trinomial

300

4x²

Quadratic Monomial

400

8x⁵+x⁴+4x³-2x+1

Fifth Degree Polynomial

500

2x²-x+7

Quadratic Trinomial