Polynomial Root Combinations

1. One of the roots of the polynomial equation

     2x³ + 9x² – 33x + 14 = 0 is 2. Find the other roots.

• A.   1/2 and 7

• B. 1/2 and - 7

• C. - 1/2 and 7

• D. - 1/2 and - 7

3. Which of the following is NOT a root of x(x + 3)(x + 3)(x – 1)(2x + 1) = 0?

• A. – 3

• B. – 1   

• C. – 1/2

• D. 1

Tags

CCSS.HSF-IF.C.7C

4. What must be multiplied to (x² + 2x + 1) to get (x³ – 2x² – 7x – 4)?

• A. (x +2)

• B. (x – 2)

• C. (x + 4)

• D. (x – 4)

Tags

CCSS.HSA.APR.D.6

6. What is the factored form of the polynomial equation x² – 225 = 0?

• A. (x + 15)(x + 15)= 0

• B. (x + 15)(x – 15)= 0

• C. (x – 15)(x – 15)= 0

• D. none of these

Tags

CCSS.HSA-REI.B.4B

7. The following are roots of 2x³ – x² – 8x +4 = 0 EXCEPT:

• A. – 2

• B. – 1/2

• C. 1/2

• D. 1/3

8. What are the roots of the function 𝑦 = 𝑥² + 𝑥 – 6?

• A. 3 𝑎𝑛𝑑 2   

• B. −3 𝑎𝑛𝑑 – 2

• C. 3 𝑎𝑛𝑑 – 2

• D.−3 𝑎𝑛𝑑 2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

9. Find the value of k so that (x – 1) is a factor of 2x³ – kx² + 2x + 3.

• A, - 8

• B. - 7

• C. 7

• D. 8

Tags

CCSS.HSA.APR.B.2

10. How many real roots does (x⁴ – 10x² + 9 = 0) have?

• A. 1

• B. 2

• C. 3

• D. 4

10. How many real roots does (x⁶ +10x⁴ + 5 = -2) have?

• A. 6

• B. 0

• C. 3

• D. 4