Algebra Operations

Like terms and Degree

100

What are the like terms of the polynomial given below:

2x³-3x-2x³-1+3x+5x²-1

-1 and -1

2x³ and -2x³

-3x and 3x

200

What are the like terms of the polynomial given below:

2-x²+3x²-4x+2x+6+4x²

2 and 6

-4x and 2x

-x², 3x²  and 4x²

300

Indicate the degree of the polynomial given below:

4x²-x+5x³-17

3

400

Indicate the degree of the polynomial given below:

8x³-7x²-21-x⁴+3x

4

500

Indicate the degree of the polynomial given below:

15x³-x²+6+2x-11x⁴

4

Multiplying

100

Multiply

-11x(3x-2y)

-33x²+22xy

200

Multiply

(2x+8y)(4x-2y)

8x²+28xy-16y²

300

Multiply:

4x(2x-4)+6x(3x-7)

26x²-58x

400

Multiply

(3x+4)(2x²+3x-5)

6x³+17x²-3x-20

500

Multiply

(7x+3)²

49x²+42x+9

Adding and Subtracting

100

Simplify

3x³+10x-8+13x²-8x+5

3x³+13x²+2x-3

200

Simplify:

(8a²-6a+9)+(10a³+3a-15)

18a²-3a-6

300

Simplify:

(9x³-15x²-4x-2)-(8x²-2)

-9x²-12x-2

400

Simplify:

(15x²+3x-9)-(24x²+15x-7)

-9x²-12x-2

500

(2y³+9y²-7)-(2y²+3y-15)

2y³+7y²-3y+8

Dividing

100

Perform the following division

(x²⁰+x¹⁵-x¹⁰)/x⁵

x¹⁵+x¹⁰-x⁵

200

Perform the following division

(x¹⁰y⁷+x⁸y⁴)/y³

x¹⁰y⁴+x⁸y

300

Perform the following division

(2x¹⁶-3x⁸+x⁶)/-x²

-2x¹⁴+3x⁶-x⁴

400

Perform the following division

(18x¹¹+30x⁸+54x⁶)/6x³

3x⁸+5x⁵+9x³

500

Perform the following division

(20x⁵y⁶+40x⁸y²)/-10x²y²

-2x³y⁴-4x⁶

Factoring

100

Factor the following polynomial by removing the greatest common factor.

8x³-4x²

4x²(2x-1)

200

Factor the following polynomial by removing the greatest common factor.

2x³-3x²-6x

x(2x²-3x-6)

300

Factor the following polynomial by removing the greatest common factor.

3a⁵b⁶-24a²b³-9a²b²

3a²b²(a³b⁴-8b-3)

400

Factor the following polynomial by removing the greatest common factor.

6t⁶u⁵v⁴+24t⁵u³v⁴-30t³u²v³

6t³u²v³(t³u³v+4t²uv-5)

500

Factor the following polynomial by removing the greatest common factor.

2x(x+9)-11(x+9)

(x+9)(2x-11)