8.6 Homework

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

• What?

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

• What?

Tags

CCSS.HSA.APR.B.3

Use the rational root theorem to state ALL possible roots

• Plus or Minus: 5, 1 and 1/2

• Only positive: 5 and 1

• Only negative: 5, 1, 1/2, and 5/2

• Plus or Minus:5, 1, 1/2, and 5/2

Tags

CCSS.HSA.APR.B.2

Use the rational root theorem to state all possible roots

• Plus and Minus:1,1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/5, 3/10, 6, and 6/5

• Only positive: Don't pick this, u should know its plus and minus by now

• Only negative: see option 2

• Plus and Minus: 1, 1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/10, and 6

Tags

CCSS.HSA.APR.B.2

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

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

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

Given the two following root, what other roots does the function must have?

-7i, 3√2, _____, ______

• -7i, 3√2,

• -7i, -3√2,

• 7i, 3√2,

• 7i, -3√2,

Expand into standard form

(x+2i)(x-2i)

• x²-4

• x²+4

• x+2i²

• x²+2i²

Tags

CCSS.HSA.APR.A.1

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

• A
• B
• C
• D

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