Fundamental Theorem of Algebra

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

What is the minimum number of roots for the following graph?

• This graph has two real roots.
• This graph has one real root.
• This graph has one imaginary root.
• This graph has two imaginary roots.

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

• 4
• 5
• 6
• 7

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

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

• 3
• 4
• 5
• Not enough information 

Tags

CCSS.HSA.APR.B.3

What is the number of real roots for the following graph?

• This graph has one imaginary root.

• This graph has one real root.

• This graph has two real roots.

• This graph has two imaginary roots.

What is the number of real roots for the following graph?

• This graph has two imaginary roots.
• This graph has two real roots.
• This graph has one imaginary root.
• This graph has one real root.

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

• 4
• 2
• 8
• 6

The largest exponent determines the degree of the polynomial.

• True
• False

-3x² + x + 4 = 0
How many roots does this equation have?

• 2
• 1
• 0
• 4

What is the total number of roots for the following equation?
ax⁵+ bx⁴+ cx³+ dx²+ ex+ f = y

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11