Zeros of Polynomials

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x=-4, x=3, x=-2

• x=-4, x=3, x=2

• x=-4, x=3, x=-2

• x=4, x=3, x=2

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

If a zero of a polynomial function has multiplicity 3 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

If the graph of a function touches the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Find the root(s) of the function.

• x = 3
• x = {-3, -1, 2}
• x = {-3, 2}
• x = -1