Finding Zeros and Multiplicity

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

Which root/zero has even multiplicity?

• 1
• -4
• -1
• 2

• -2, 9, 3

• -2, -9, -3

• 2, 9, 3

• 2, -9, -3

Solve by factoring: 4x^3-6x^2=2x^2

• x = {2, -2}

• x = {2}

• x = {0, -2}

• x = {0, 2}

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Which function has zeros: x=0, x=5(multiplicity of 3) and x=-6.

• f(x) = 9x(x + 5)³(x - 6)

• f(x) = 3(x - 5)³(x + 6)

• f(x) = -7x(x - 5)³(x + 6)

• f(x) = (x - 3)(x - 5)(x + 6)

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function rule that could represent this function.

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)

• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

• (x + 5)³(x - 9)²(x + 2)

• (x + 5)(x - 9)(x + 2)(x - 4)

• -2
  

• 0

• -7