5-5 Alge 2: Theorem About Roots of Polynomial Functions

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

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

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

What is a cubic polynomial with that has the following roots.

7, -2i

• (x-7)(x-2i)

• (x-7)(x+2i)(x-2i)

• (x-7)(x+2i)

• (x-7)(x+7)(x-2i)

A quartic polynomial P(x) has rational coefficients. If   $2−i$  and  $−\sqrt{5}$  are roots of P(x) = 0, what are the other 2 roots?

•  $−(2+i),\sqrt{5}$  

•  $−2+i,\sqrt{5}$  

•  $2+i,\sqrt{-5}$  

•  $2+i,\sqrt{5}$  

Solve by using Rational Root Theorem:

x³ - 7x - 6 = 0