Polynomials

Classifying Polynomials

100

What type of polynomial is this:

3xy + 6

binomial

200

What type of polynomial is this:

-7x^2

monomial

300

What type of polynomial is this:

3x^2 - 1y + 3

trinomial

400

what type of polynomial is this:

2x^2 + 3x^2

monomial

500

what type of polynomial is this:

3x^2 - 7y + x^2 + 3

trinomial

Simplifying Polynomials

100

Simplify the polynomial:

3x^3 - 2x^3 + 1

x^3 + 1

200

Simplify the polynomial:

4y + 2 y^2 - 3 + y

2y^2 + 5y - 3

300

Simplify the polynomial:

7xy - 3 - y + 6

7xy - 7 + 3

400

Simplify the polynomial:

7x^2y - 7xy - 8 x^2y - xy + 1

-x^2y - 8xy + 1

500

Simplify the polynomial:

r^3 + 6 rs + 10 - 6rs + 3r^3 - 9

4r^3 + 1

Adding Polynomials

100

Add:

(2x^2 + 6x + 5) + (3x^2 - 2x - 1)

5x^2 + 4x + 4

200

Add:

(6x^2 + 10x - 7) + (2x^2 + 4x)

8x^2 + 14x - 7

300

Add:

(20x^2 - 9x^3) + (7x^3 - 10x^4 - 14x^2)

-10x^4 -2x^3 + 6x^2

400

Add:

(14 + 12a^3) + (17a^4 + 15 - 5a^3)

17a^4 + 7 a^3 + 29

500

Add:

(3x^2 - 6x) + (2x^3 - 3x + 2) + (4x^2 - 3x - 1)

2x^3 + 7x^2 - 12x + 1

Subtracting Polynomials

100

Subtract:

(5x + 9y - 2z) – (2x - 5y + 3z)

3x + 14y - 5z

200

Subtract:

(3x - 2) - (-7x + 10)

10x - 12

300

Subtract:

(x^2 - y^3 + z) – (-6x^2 - 8y^3 + 15z)

7x^2 + 7y^3 - 14z

400

Subtract:

(6x^3 – 8x^2 + x + 10) – (3x^3 + 5x^2 – 7x + 10)

3x^3 – 13x^2 + 8x

500

Subtract:

(5x^3– 7x^2 – 8) – (4x^2 + 5x – 6)

5x^3 - 11x^2 - 5x - 2