Solving Polynomials using 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

Solve by using Rational Root Theorem: 
x³ + 3x² - 6x - 8 = 0

•  -4, -1, 2
• -4, -1, ±√2
• 1, 2, 4
• 4,-1,√2

Tags

CCSS.HSF-IF.C.7C

Solve by using Rational Root Theorem: 
x³ - 7x - 6 = 0

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

Tags

CCSS.HSA.APR.B.2

 $x^5+3x^2-4x+120$  has how many total possible  positive real solutions?

• 4

• 3

• 2

• 1

• 0

 $x^5+3x^2-4x+120$  has how many total possible  negative real solutions?

• 4

• 3

• 2

• 1

• 5

If  $f\left(x\right)$  has a maximum possible number of 5 positive real roots, what else is true?

• It also has 5 negative real roots 

• It might also have 3 positive real roots instead

• It might also have 1 positive real root instead

• It might also have 3 negative real roots instead

• It might also have 1 negative real root instead

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSF-IF.C.7C

How many positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSF-IF.C.7C