Polynomial Operations

Addition

100

Solve

(5p²-3)+(2p²-3p³)

-3p³+7p²-3

200

Solve

(4+2n³)+(5n³+2)

7n³+6

300

Solve 

(-4k⁴+14+3²)+(-3k⁴-14k-8)

-7k⁴-11k²+6

400

Solve

(-x⁴+13x⁵+6x³)+(6x³+5x⁵+7x⁴)

18x⁵+6x⁴+12x³

500

Solve 

(5x⁴ – 3x² + 4) + (6x³ – 4x² – 7)

5x⁴+6x³-7x²-3

Subtraction

100

Solve

(2x+5)-(5x+9)

7x-4

200

Solve

(4x²+8x+6)-(3x-7)

4x²+5x-1

300

Solve

(6x²-5x+9)-(12x²+7x-15)

-6x²-12x+24

400

Solve

(8x³-6x²+2x-7)-(4x³-14x²-8x+13)

4x³+8x²+10x-20

500

Solve

(3x²-5x-1)-(x³-2x²+4)-(9x³+5x²-3x-2)

-10x³-2x-3

Multiplication

100

Solve

6v(2v+3)

12v²+18v

200

Solve

(2n+2)(6n+1)

12n²+14n+2

300

Solve

(5n+6)(5n-5)

25n²+5n-30

400

Solve

(4a+2)(6a²-a+2)

24a³+8a²+6a+4

500

Solve

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

Multi Variable

100

Solve

(A+b)²

a²+2ab+b²

200

Solve

(2x+3y)+(6x+8y)

8x+11y

300

Solve

(3x-y)(x-5y)

3x²-16xy+5y²

400

Solve

(a+b+c)(a+b+c)

a²+b²+c²+2ab+2ac+2bc

500

Solve

(4x-17y)²-(5x+6xy+16y²)

16x²-5x-142xy+273y²

Word Problems

100

The sides of a triangle are represented by the expressions 2x²+5, 5x²-2x, and 8x+2. What is the perimeter of the triangle?

7x²+6x+7

200

What is the volume of a cube with a side length of 3x-7?

27x³-189x²+441x-343

300

A rectangular garden has a length of x+8 and a width of x-4. There is a square box in the center that tools are kept in with a side length of x. What is the area of the garden excluding the box?

4x-32

400

What is the area of a rectangle with a length of 2x²+5x+9 and a width of 2x²+1?

4x⁴+10x³+20x²+5x+9

500

A triangle has a height of 24x and a base of (4x+7). What is the area of the triangle?

Hint: A=1/2(bh)

48x²+84x