Polynomial Review

Area and Perimeter

100

What is the area of a square with a side length of x²+3?

x⁴+9

200

One side length of a triangle is x+8. Another side has a length of x+9. If the perimeter is 3x+24, what is the length of the  missing side?

x+7

300

A square has one side with the length of x⁴+4, what is the perimeter?

4x⁴+16

400

A rectangle has the width of 4x+2 and a side length of x+3. What is the area?

14x+6

Standard Form

100

Is this polynomial in standard form?

3xy+x-3

Yes

200

Put the polynomial in standard form.

x+y⁴-12-x²

y⁴-x²+x-12

300

Put the polynomial into standard form.

3x-17y⁵+4x²y³z

4x²y³z-17y⁵+3x

400

Is this polynomial in standard form?

x¹¹+xyz-20x⁵y⁷

If not, what is the standard form?

No.

-20x⁵y⁷+x¹¹+xyz

Leading Terms and Degrees

100

What is the leading term?

2x¹⁰-34x³+x⁸y²z

x⁸y²z

200

What is the degree of this polynomial?

2x¹¹y³+5y

14

300

What is the leading term in the polynomial?

-18x+4x⁴-24+3x⁵

3x⁵

400

What is the degree of this polynomial?

10x⁸-x⁹+y⁴a³x⁷

14

Adding, Subtracting, and Multiplying

100

Simplify.

12x+3y²-x³-11x

-x³+3y²+x

200

Simplify.

(6x³-10)(5x+2)

3-x⁴+12x³-50x-20

300

Simplify. 

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

2x-6