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:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

2x(x + 5)

2x² + 10x

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

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

When subtracting polynomials, what happens to every term in the second set of parentheses?

Each term gets multiplied by -1, which changes the sign in front of each number

400

When multiplying polynomials, what happens to the exponents?

Add exponents together

500

Multiply Polynomials:

(d + 3)(d² - 4d + 1)

 d³ - d² - 11d + 3