Unit 1 Criterion A Jeopardy - Copy

Factoring Polynomials

100

x^2 - 3x + 2

(x - 2) (x - 1)

200

3x^2 - 300

3(x - 10) (x + 10)

300

x^3 + 3x^2 +3x + 1

(x + 1)^3

400

x^3 + x^2 - 16x - 16

(x+4)(x-4)(x+1)

500

2x^3 + 8x^2 - 22x - 60

2(x-3)(x+2)(x+5)

Simplifying Algebraic Fractions (AFs)

100

x^2/(xy)

x/y

200

(x(x+1))/((x+1)(x+2))

(x)/(x+2)

300

15/(15x+5)

3/(3x+1)

400

(x-1)/(x^2+5x-6)

1/(x+6)

500

(x^2-13x-30)/(x^3+8)

(x-15)/(x^2-2x+4)

Multiplication and Division of AFs

100

1/x^2 *x/2

1/2x

200

(x+1)/(x+2) * (x+2)/(x+3)

(x+1)/(x+3)

300

((x^2-4)/(x-2))/(x+2)

1

400

(x^2+7x-8)/(x^2-1) * (x+1)/(x^2+3x-40)

1/(x-5)

500

((x^2-16)/(x^2-7x-18))/((x^2+x-2)/(x^2+5x-36)

No Factors can be cancelled

((x-4)^2(x+4)(x+9))/((x+2)^2(x-9)(x-1))

Polynomial Division and Remainders

100

Divide  x^2+2x+1 by  x+1 

x+1

200

What is the remainder when you divide  x^2-5x+5 by  x-5 

5

300

Can  x+1 be evenly divided into  -x^2 + 9x +8 ?

No. You get a remainder of 16. 

400

What is g in the polynomial  2x^2 + 5x + g when dividing by  x+3 leaves no remainder? 

-3

500

What is the g in  4x^3+2x^2+gx if dividing by  2x-3 leaves no remainder? 

-12

Addition and Subtraction of AFs

100

1/x + 1/x

2/x

200

2/x + 1/(2x)

5/x

300

3/x + x/3

(9+x^2)/(3x)

400

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

1/((x+1)(x+2))

500

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

(x-2)/x

Equations with Algebraic Fractions

100

1/(x+1) = 4

x = 3

200

A fraction that is equal to 5/7 has a numerator and denominator that add to 36. What is the fraction?  

15/21

300

When the same number is subtracted from both the numerator and denominator of 9/10 you get a fraction equal to 7/10. What is the number?  

20/3

400

Solve for x. (-3x+6)/(x^2+2x)=5 

x = 2/5 or -3

500

 1/x + 1/(x+1) + 1/(x+4) = 1 

x = 2