Descartes’ Rule of Signs

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.HSA.APR.B.3

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

• 1 positive, 2 or 0 negative

• 1 positive, 1 negative

• 0 positive, 1 negative

• 1 positive, 0 negative

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

• 3 or 1 positive roots and 0 negative roots

• 4, 2, or 0 positive roots and 1 negative root

• 4, 2, or 0 positive roots and 0 negative roots

• 2 or 0 positive roots and 1 negative roots

Tags

CCSS.HSA.APR.B.3

What does Descartes' Rule of Signs determine?

• How many possible positive real solutions

• How many possible negative real solutions

• How many possible imaginary or complex solutions

How many possible negative solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSA.APR.B.2

How many possible positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 3

• 4 or 2

• 3 or 1

• 4, 2, or 0

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