Unit 7 Polynomials Review

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-5-3x²)

-2x⁶-8x²

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

-2(t² + 3t³ -3t) + 5(2t² +7t -2t³)

 -16t^3+8t^2+41t 

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) - 2(5k³ + 7k -3k²)

 -4k^3+7k^2-14k-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 - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2x-6)²

4x² -24x +36

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring GCF/ Special Products

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+a²

a²(5a+1)

300

Perform the given operation

(2x - 8)(2x+8)

4x^2-64

400

(x-3)(2x-1)^2

  4x^3-16x^2+13x-3 

500

Factor out the GCF

 30m^4n^4-24m^3n^2+48m^2n^3 

6m^2n(5m^2n^3-4mn+8n^2)

Classify

100

Name the polynomial

8

Constant Monomial

200

Name the polynomial

7x²-5x+9

Quadratic trinomial

300

Name the polynomial

3x³-6

Cubic Binomial

400

2x²+7y+3x⁵+9

Quintic Polynomial with 4 terms

500

Name the polynomial

 3x^7-4x^3+9x^12+8x^7-4x^12 

12th degree trinomial