5.5 Review - Rational Roots and Descartes Rule of Signs

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3
• ±1, 7
• ±1, ±3, ±7, ±7/3
• ±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.3

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

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

List all the possible rational zeros 
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12
• 1,2,6,12
• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

Tags

CCSS.HSA.APR.B.2

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

List all of the possible rational zeros 
p(x) = 3x²+x+7 

• -1/3, -7/3, -1, -7, 1/3,7/3,1,7
• 1/3,7/3,1,7
• 1, 7, 14, 21

Tags

CCSS.HSA.APR.B.2

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

Tags

CCSS.HSF-IF.C.7C

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ - 8x² - 23x + 30

• 3

• -1

• -10

• 1

Tags

CCSS.HSF-IF.C.7C

List all of the possible rational roots
 $f\left(x\right)=2x^4-3x^3+5x+25$  

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

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

•  $\pm1,5,25$  

•  $\pm1,2$  

Tags

CCSS.HSA.APR.B.2