Polynomials/ Rationalizing/Square Roots/Scientific Notation

Row 1

100

x²-81

(x+9) (x-9)

200

Rationalize the denominator: 

√7 /√3

√21 / 3

300

Put  into scientific notation:

-0.000125

1.25 ∗10^-4

400

∜(3x⁴ y² )

see board

500

3x³+ x²  -15x -5

(3x+1) (x²-5)

Row 2

100

Scientific notation:

3.14 × 10^-4

0.000314

200

(2x²y – 5xy + 3y²) – (7xy – 6y² + 5x²y)

-3x²y-12xy+9y²

300

24x² y+34xy+12y                                                    

2y (4x+3) (3x+2)

400

(2x² – 5x)(9x² + 6x + 4)

18x⁴- 35x³- 22x²- 20x

500

Rationalize the numerator:

 (√7-3)/4

-1 / 2(√7+3)

Row 3

100

Put into scientific notation:

10,250.4

1.02504 * 10⁴

200

z²-10z+21                                                              

(z-3) (z-7)

300

x³+64

(x+4) (x²-4x+16)

400

(3b²+6b−45)

3 (b+5) (b-3)

500

(x²+ 8x-20) / (x²+ 11x+10)

State domain

x-2 / x+1

Domain: all real numbers, except x cannot equal -1 or -10

Row 4

100

12x²+ 5x - 2

(4x-1) (3x+2)

200

(4x + 3)(3x² – 5x – 6)

12x³-11x²-39x-18

300

r/(r-1)÷  r²/(r²-1)

State domain

r+1 / r

Domain: all real numbers except r cannot equal 0

400

2x (x²+1)³ -16 (x²+1)⁵

2 (x²+1)³ [x-8 (x²+1)²]

500

3/(x-1)- 4/(x-2) / 5/(x-2)-4/(x+1)

(-x-2) (x+1) / (x-1) (x+13)

Row 5

100

Evaluate:

2x³-x²-4x+2 at x=-3

-49

200

Rationalize the denominator 

4/(x+ √3)  

4( x-√3) / x²-3

300

√(75x² y^-4 )

5√3 x / y² 

400

a)Rationalize the denominator: 

√15 /√6x

√10x / 2x

500

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Final Jeopardy

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