Theorems About Roots of Polynomial Equations

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.HSF-IF.C.7C

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i

• -3-5i

• -5i

• 3-5i

Tags

CCSS.HSN.CN.A.3

All imaginary roots comes in pairs.

• True

• False

Tags

CCSS.HSN.CN.C.9

Which is not a zero of the function?

• -3

• -1

• 2

• 1

Tags

CCSS.HSF-IF.C.7C

• A

• B

• C

• D

• E

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

• 2

• 1

• 3

• 0

Write a polynomial function of least degree with the given zeros.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

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