Polynomial Roots

The degree of the polynomial determines the number of roots.

• True
• False

What is the least degree of the graph of the above polynomial?

• 3
• 4
• 5
• Not enough information 

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

• 4
• 2
• 8
• 6

All imaginary roots comes in pairs.

• True
• False

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

• 3
• 4
• 1
• 2

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

2. Find a cubic polynomial equation with roots – 2,

       2, and 4.

• A. x³ – 4x² – 4x + 16

• B. x³ – 4x² + 4x + 16 

• C. x³ + 4x² – 4x + 16

• D. x³ + 4x² + 4x + 16

5. Which of the following is NOT a factor of x³ + 2x² – 25x – 50 = 0?

• A. x + 5

• B. x – 5

• C. x + 2

• D. x – 2

Which one of these is NOT another word for roots?

• solutions

• y intercepts

• zeros

Find a polynomial function that has zeroes at
x=1+√2, 1-√2, and 1

• x³ - 3x² + x +1
• x³ - 3x² + 3x +1
• x³ - x² + x +3
• x³ - 3x² + 3x +3