Polynomials Review

Adding Polynomials

100

How many terms does this polynomial have? 3q+7+q

Trinomial

200

 -5x + 3x -5

-2x-5

300

Simplify this polynomial. (11 - 4x) + (3x² + x - 2)

 3x²- 3x + 9

400

Simplify this polynomial. -5s + st - 4s² - 12st + 10s - 2s²

-6s² + 5s - 11st

500

A triangle has a perimeter of 23a - 7. Two sides have lengths of 6a + 8 and 8a - 9. What is the length of the 3rd side?

9a - 6

Subtracting Polynomials

100

What is the highest degree? (-4x³ - 3x - 11) - (x² - 4x)

3

200

Simplify: (4 - 5p) - (-7p + 3)

2p + 1

300

Simplify: Order terms from the highest degree 

 (8x + 2 - 3x²) - (5 - 3x + 7x²)

 - 10x²+11x -3

400

 (-3m² + 4mn -n²) - (5m² + 7mn + 2n²)

-8m²- 3mn -3n²

500

 (-4x² - 3x - 11) - (x² - 4x + 15)

-5x² + x - 26

Multiplying Polynomials

100

 (2r)(-6r)

-12r²

200

 2x (x - 6)

2x^{2 -}12x

300

(2xy)(2x² - 3xy + 7y²)

4x³y-6x²y²+14xy³

400

 (2x²+3y)²

4x⁴ +12x²y+ 9y²

500

(x+2)(x-3)

x² - x - 6

Dividing Polynomials

100

(8x + 4)/4x

2 + 1/x

200

 (-26c² + 39c - 13c)/(-13c)

2c-2

300

 (15x²+14x+3)/(5x+3)

(3x+1)

400

(10x² -16x - 8)/(5x+2)

2x - 4

500

(12d² - 12)/(d-1)

  12d+12