Multiplicity of Polynomials

Which zero will "bounce" off of the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

What is the multiplicity of the zero x=-5 for the function f\left(x\right)=x^2\left(x-1\right)^4\left(x+5\right)?

• 1

• 2

• 3

• 4

• 2

• 1

• 4

• 3

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

Remember to look at your roots, multiplicity, and end behavior!!

• -1

• -3

• -120

• 4

Remember to look at your roots, multiplicity, and end behavior!!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Which equation MOST LIKELY matches the graph? Remember to look at your roots, multiplicity, and end behavior!!

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

Which choice is correct?

• The zero at -2 has even multiplicity

• The function has a zero at 1

• The function has an even degree

• The function has a negative leading coefficient

Which root/zero has even multiplicity?

• 1
• -4
• -1
• 2