Polynomials

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

Multiplying Polynomial and Monomial

100

Multiply:3x(4x+2)

12x^2 + 6x

200

Multiply:

2x (-2x - 6)

-4x^2 - 12x

300

Multiply:

-4 (2x - 2)

-8x + 8

400

Multiply:

10uv (2u + 3v)

20u^2v + 30uv^2

500

Multiply:

2u^2 (5u^3 - 4v)

10u^5 - 8u^2v

Multiplying Binomials

100

Multiply:

(x - 3) (2x + 2)

2x^2 - 4x - 6

200

Multiply:

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

-2x^2 + 6x - 4

300

Multiply: 

(5x - 2) (5x - 8)

25x^2 - 50x + 16

400

(2xv - 4) (3v^2 - 4)

6xv^3 - 12v - 8 xv + 16

500

Multiply:

(10x^2v^2 - 3) ( -10x^2v^2 + 3)

-100x^4v^4 + 60x^2v^2 - 9