Rational Functions Quiz

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5, ±1/2, ±5/2
• ±1, ±2, ±5, ±1/2, ±5/2
• ±1, ±5
• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

Which of the following is a COMPLETE list of all possible Rational Zeros?
 $f\left(x\right)=2x^4-3x^3+5x+25$  

•  $\pm1,5,25,\frac{1}{2},\frac{5}{2},\frac{25}{2}$  

•  $\pm1,2,\frac{1}{5},\frac{2}{5},\frac{1}{25},\frac{2}{25}$  

•  $\pm1,5,25$  

•  $\pm1,2$  

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Tags

CCSS.HSA.APR.B.3

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Tags

CCSS.HSA.APR.B.2

Divide by using long division. Be aware of remainders.

(4b² + b - 2) ÷ (4b + 5)

• $b+1-\frac{3}{4b+5}$

• $b-1+\frac{3}{4b-5}$

• $b+1+\frac{3}{4b+5}$

• $b-1+\frac{3}{4b+5}$

Divide by using long division.

(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

• This is correct
• This is incorrect

Tags

CCSS.HSA.APR.D.6

Divide by using long division.

• 4x

• 21

• 2x-1

• 10x

Divide by using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Divide by using synthetic division:

-2x²+4x+48 ÷ x+4

• -2x+12

• 2x+12

• -4x+9

• 4x+9