Chapter 7 Part 1: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:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

400

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

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:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

400

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Like Terms

100

Combine the like terms.

 3a + 4a?

7a

200

Combine the like terms

 -12b + 6b - 4b?

-10b

300

Combine the like terms.

 4x³ + 3x² − 7 − x² + 2?

4x³ + 2x² −5

400

Combine the like terms

 5a² - 6a + 7a² + 3a - 2 + 8a + 7?

12a² + 5a + 5

500

Combine the like terms.

 -5y³  + 4y² - 3y - 6y³ - 3y² - 10y

-11y³ + y² - 13y

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

(-2x)(x³+6x-2)

-2x⁴ - 12x² - 4x

400

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

500

Multiply the Polynomials:

(3x)(5x²+3x-15)

15x³ + 9x² - 45x

Divide Polynomials

100

Divide the polynomial.

(15x²) / (5x)

3x

200

Divide the polynomial.

(3x²+ 9x + 12) / (3)

x² + 3x + 4

300

Divide the polynomial.

(12y² + 16y⁴) / (4y)

3x²y + 4y³

400

Divide the polynomial.

(21x³ - 14x² + 7x) / (7x)

3x² - 2x + 1

500

Divide the polynomial.

(-2x² - 6x + 3x² - 8x) / x²

-14x