Polynomial 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) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

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

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

x(x + 5)

x² + 5x

300

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

400

Multiply the Polynomials:

(y + 5)(y² + 2y - 6)

y³ + 7y² + 4y - 30

500

Multiply the Polynomials:

(4x - 1)(2x² +6x -3)

8x³ + 22x²-18x + 3

General Polynomial Info

100

The degree of this polynomial: 

x³ - 7x² + 4x⁵ - 19x⁷

.

7

200

Classify the  polynomial by its number of terms:

10x²y³

monomial

300

A constant has a degree of _________

Zero

400

Classify the following polynomial based on degree & number of terms:  5x³ −  4  

cubic binomial ~ because it has a degree of 3 and two terms.

500

Write the following polynomial in standard form:

5x²y + x⁶ - y⁴ + x³y² - 9 + 7x

x⁶ + x³y² - y⁴ +5x²y + 7x - 9

Special Products

100

Multiply polynomials

(x - 5)(x + 5)

x²  - 25  

200

Multiply Polynomials:

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

4x² - 9

300

Multiply Polynomials:

(x + 4)²

x² + 8x + 16

400

Multiply Polynomials:

(2x + 3)²

4x² + 12x + 9

500

Multiply Polynomials:

(3x - 4)²

9x² - 24x + 16