Polynomials Test Review

Add

100

(2a+5b)+(-7b+2a)

4a-2b

200

(3a – 3b +2) + (4a + 5b)

7a+2b+2

300

(4g⁴+5g³-25g²+11g+9)+(-2g³+20g²-g)

4g⁴+3g³-5g²+10g+9

400

x(4x+5)+3(2x²-4x+1)

10x²-7x+3

500

What is the perimeter of a triangle with a base of 4x⁵+3x³-9, a leg of -2x⁵+4x²+11, and a second leg of -5x³ + 2x²

2x⁵-2x³+6x²+2

Subtract

100

(3v²-9) - (7v²+8)

4v²-17

200

(2x²-x) - (3x+3x²-2)

-x²-4x+2

300

(3x²+3)-(6x+4)+(3x²-5x)

6x²-11x-1

400

(x⁵ + 6x⁴ + 3x²) – (8x² + 8x⁴ – 6x⁵)

7x⁵-2x⁴-5x²

500

0.4(10x-10y) - 0.75(12x - 24y)

-5x + 14y

Multiply 1

100

x(x+3)

x²+3x

200

Simplify:

x(4x²+3x-8)

4x³+3x²-8x

300

(x+7)(x-3)

x²+4x-21

400

(2n - 3)(n + 4)

2n²+ 5n - 12

500

(r -12)²

r²-24r+144

Other/ Multiply 2

100

Simplify 

3m²(2m² - m)

6m⁴ - 3m³

200

What operation is not closed under polynomials?

Division

300

(4c - 2)(4c + 2)

16c² - 4

400

If the length of a rectangle is 2x and the width is (4x - 7). What is the area?

8x² - 14x

500

(x+3)(2x²-4x-6)

2x³+2x²-18x-18

Degrees and Names

100

What is the degree of the polynomial

6x³

3

200

What is the name of the polynomial?

2x² + 4x

Quadratic Binomial

300

What is the leading coefficient of the polynomial when written in standard form?

7v - 9v⁴ +3v³

-9

400

What is the name of polynomial?

5x⁴ + 2x³ - 9

Quartic trinomial

500

What is the degree of the polynomial?

5x²y

3