The Fundamental Theorem of Algebra

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8
• 9
• 5
• 3

The degree of the polynomial determines the number of roots.

• True
• False

The largest exponent determines the degree of the polynomial.

• True
• False

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

• 4
• 2
• 8
• 6

What are the zeros of f(x) = x²+9x+14

• 2, 7

• -2, -7

• 2, -7

• -2, 7

Identify the zeros of f(x) = x²-36 .

• 4, -9

• 6, -6

• 18, -18

• 36, -36

What are the zeros of f(x) = m²-9m+20?

• 4, 5

• -4, -5

• 2, 10

• -2, -10

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

What are the zeros of the given graph ? Choose all that apply.