Remainder Theorem and Imaginary Zeros of Polynomials

What is the remainder when      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

What are the three factors for
 (x³ -3x² -4x +12) ÷ (x + 2)?

• (x-2) (x+2) (x+3) 
• (x-2) (x-2) (x+3)
• (x+2) (x+2) (x+3)
• (x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Tags

CCSS.HSA.APR.D.6

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 
• (x-1) (x+5) (x + 3) 
• (x+1) (x+5) (x-3) 
• (x+1) (x-5) (x-3) 

Tags

CCSS.HSA.APR.B.2

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.9

CCSS.HSN.CN.C.7

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Tags

CCSS.HSA.APR.B.3

If a+bi is a root of a polynomial, then _______ is also a root.

• i²

• a-bi

• a+bi

• -i²

Tags

CCSS.HSN.CN.C.9

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.8

Given the graph give the minimum degree of the polynomial.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

Looking at the graph, discuss the most likely scenario for the number and type of zeros:

• 2 real, 1 imaginary

• 1 real, no imaginary

• 1 real, 2 imaginary

• 1 real, 1 imaginary