Polynomials

Multiplying Polynomials

100

Multiply these binomials (x + 5)(x + 5)

x^2 + 10x + 25

200

Multiply these binomials (2x + 4)(3x + 5)

6x^2 + 22x + 20

300

Multiply these binomials (x - 4)(7x - 2)

7x^2 - 30x + 8

400

Multiply these binomials (x^2 + 5)(x - 2)

X^3 - 2x^2 + 5x - 10

500

Multiply these binomials (2x^2 + 4)(3x^2 + 5)

6x^4 + 22x^2 + 20

Factoring Polynomials

100

Factor this polynomial- x^2 + 10x + 25

(x + 5)(x + 5)

200

Factor this polynomial 7x^2 - 30x + 8

(x - 4)(7x - 2)

300

Factor this polynomial 12X^2 - 24x - 36

12(x - 3)(x + 1)

400

Factor this polynomial 16m^4 - 25

(4m + 5)(4m - 5)

500

Factor this polynomial 20n^2 − 12n − 32

4(n + 1)(5n − 8)

Classify

100

Classify 

3x^2-2x

quadratic binomial

200

Classify 4x^3-8x+6

cubic trinomial

300

7x^4-8x^3+6x^2-6

Quartic polynomial

400

Classify 5x^2-6x^3+9

Cubic trinomial

500

Classify 7x^8

8th degree monomial

Adding Polynomials

100

Add these (x + 5) + (x + 5)

2x + 10

200

A rectangle has a length of 4m^3 + 6m and a width of m^3 + 2m - 5 What is the perimeter of the rectangle?

Perimeter = 10m^3 + 16m - 10

300

Add these two polynomials 2x^2 + 3x + 1 and 6x^2 - 7x - 10

8x^2 - 4x - 9

400

(14y^2 + 15y - 9) + (-10y + 9)

14y^2 + 5y

500

(y^2 - 81) + (4y^2 - 3y + 90)

5y^2 - 3y + 9

Subtracting Polynomials

100

Subtraction of polynomials (4x^2 + 3x + 10) - (x^2 + x + 5)

3x^2 + 2x + 5

200

11x^2 + 4x + 7 subtracted FROM 15x^2 + 5x + 10

4x^2 + x + 3

300

11x^2 - 4x - 7 subtracted FROM 15x^2 + 5x + 10

4x^2 + 9x + 17

400

A triangle has a perimeter of 12m^2 + 2m + 3 and another triangle has a perimeter of 5m^2 - m - 2 How much longer is the perimeter of the larger triangle?

7m^2 + 3m + 5

500

(-5x^4 - 5x^3 + 2x^2 - 10x + 15) - (minus) (x^4 - 2x^3 + x^2 + 3x + 15) _________________________________

-6^4 - 3x^3 + x^2 - 13x