Polynomial Review

Standard Form

100

Rewrite this polynomial in standard form (descending order)

2x³ + 17x² - 33 + 9x⁴

9x⁴ + 2x³ + 17x² - 33

200

Rewrite this polynomial in standard form (descending order)- classify the polynomial

2x²+7y+3x⁵+9

3x⁵+2x²+7y+9

5th degree polynomial

300

Rewrite this polynomial in standard form (descending order)

-6a⁴ + 10a³ + 14a⁷ - 22a² + 33

14a⁷ - 6a⁴ + 10a³ -22a² +33

400

Combine like terms and write in Standard form

13k -10k³ + k +1 - 2k³ +9

-12k³ + 14k + 10

500

Combine like terms and write in Standard form

4x - 9x² + 4x³ - 5x⁴ +11 - 4x³ -3x² - 8x + 4x²

-5x⁴ - 8x² - 4x + 11

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-x-3x²)

-2x⁶-8x²-x+5

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:

(6k² -4k -5) - (3k² - 7k +2)

3k²+3k-7

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:

(2m - 1)(m + 2)

2m² + 3m - 2

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

100

Determine the GCF of 

21a²b⁴c and 49ab²c³

7ab²c

200

Factor out the GCF

30x-42

6(5x-7)

300

Factor out the GCF

3x⁴y+6x³y²+15x²

3x²(x²y+2xy²+5)

400

Factor out the GCF

2b^9-20b^5

2b^5(b^4-10)

500

Factor by grouping

6x²+10x+3x+5

(6x²+10x)+(3x+5)

2x(3x+5)+1(3x+5)

(2x+1)(3x+5)

Factoring Special Products

100

Factor:

b^2-9

(b+3)(b-3)

200

Factor:

2x^2-8

2(x+2)(x-2)

300

Factor:

4p^2-256

4(p+8)(p-8)

400

Simplify

(2x-6)²

4x²-24x+36

500

Solve by factoring:

5n^2-40n=0

0,8