Polynomials Review

Adding & Subtracting Polynomials

100

Add the Polynomials

 (4x + 9)+(x - 4) 

5x + 5

200

Subtract the polynomials:

 (-5h-2)-(7h+6) 

-12h - 8

300

Add the polynomials:

 (x^2 +3x + 5) + ( -x^2 +6x) 

9x + 5

400

Subtract the Polynomials:

 (k^2 + 6k^3 -4) - (5k^3 + 7k -3k^2) 

k^3 + 4k^2 -7k -4

500

Add the polynomials:

 (-1 + x^2 + 2x) + (1 -2x + 2x^2) 

3x^2

Multiplying Polynomials

100

Multiply the Polynomials:

 3x(2x - 5) 

6x^2 - 15x

200

Multiply the Polynomials:

 (x - 3)(x + 2) 

x^2 - x - 6

300

Multiply the Polynomials:

 (2m - 1)(m + 2) 

2m^2 + 3m - 2

400

Multiply the Polynomials:

 (4n - 1)(3n + 4) 

12n^2 + 13n - 4

500

Multiply the Polynomials:

 (d + 3)(d^2 - 4d + 1) 

d^3 - d^2 -11d + 3

GCF & Special Products

100

Factor the GCF:

 30x-42 

6(5x-7)

200

Factor the GCF:

 6a^3+14a^2 

2a^2(3a+7)

300

Factor:

 x^2 - 81 

(x + 9)(x - 9)

400

Factor:

 9p^2 - 100 

(3p + 10)(3p - 10)

500

Factor by GCF:

 18n^4+42np+6n 

6n(3n^3+7p+1)

Factoring

100

Factor:

 p^2 +14p +40 

(p+4)(p+10)

200

Factor:

 z^2 - 4z - 21 

(z+3)(z-7)

300

Factor:

 5n^3-10n^2+3n-6 

(5n^2+3)(n-2)

400

Factor:

 x^2-14x+49 

(x-7)^2

500

Factor:

 5y^2 - 22y + 8 

(5y - 2)(y - 4)