multiplicity review

What is the significance of a root with even multiplicity?

• A root with even multiplicity touches the x-axis but does not cross it.

• A root with even multiplicity crosses the x-axis at that point.

• A root with even multiplicity indicates a local maximum or minimum.

• A root with even multiplicity has no effect on the graph.

Which root has even multiplicity?

• 0

• 1

• 2

• 3

What does it mean for a polynomial to have complex roots?

• Complex roots are always real numbers.

• Complex roots occur in conjugate pairs and are not real numbers.

• Complex roots can only be found in quadratic equations.

• Complex roots are the same as imaginary roots.

How many roots are shown in the picture?

• 1

• 2

• 3

• 4

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

• x-intercept

• y-intercept

• slope

• vertex

What is the significance of a root with odd multiplicity?

• A root with odd multiplicity crosses the x-axis at that point.

• A root with odd multiplicity does not affect the graph.

• A root with odd multiplicity results in a local maximum.

• A root with odd multiplicity is always a complex number.

How do you determine the multiplicity of a root from a polynomial equation?

• By evaluating the polynomial at the root and checking the value.

• By factoring the polynomial and counting the number of times each root appears.

• By taking the derivative of the polynomial and finding its roots.

• By using synthetic division to divide the polynomial by the root.

Which root has a multiplicity of 2?

• -1

• 0

• 1

• 2

Define 'multiplicity' in the context of polynomial roots.

• Multiplicity refers to the number of times a particular root appears in a polynomial.

• Multiplicity is the degree of the polynomial.

• Multiplicity indicates the maximum value of the polynomial.

• Multiplicity is the sum of all roots of the polynomial.

What is the degree of a polynomial?

• The highest power of the variable in the polynomial.

• The sum of the coefficients of the polynomial.

• The number of terms in the polynomial.

• The product of the coefficients and the variable.