Finding the Zeros of a Polynomial

The video tutorial provides an overview of zeros in polynomials, starting with linear polynomials and progressing to higher order ones. It explains the concept of multiplicity, differentiating between even and odd multiplicity, and introduces factoring techniques to solve for zeros. An example problem is worked through step-by-step to illustrate these concepts in practice.

What is the zero of the polynomial F(x) = x + 3?

• x = 3

• x = 1

• x = -3

• x = 0

What is the term used to describe when a graph touches the x-axis but does not cross it?

• Odd multiplicity

• Zero multiplicity

• Infinite multiplicity

• Even multiplicity

Which technique is used to solve higher-order polynomials?

• Integration

• Elimination

• Substitution

• Graphing

What is the first step in solving a polynomial equation?

• Differentiate the polynomial

• Factor the polynomial

• Set F(x) to zero

• Graph the polynomial

What is the zero of the polynomial F(x) = x^2 + x - 6?

• x = 3

• x = -2

• x = -3

• x = 2

How do you determine the multiplicity of a factor?

• By the coefficient of the factor

• By the power to which the factor is raised

• By the degree of the polynomial

• By the number of terms in the polynomial

What are the zeros of the polynomial F(x) = x(x + 3)(x - 2)?

• x = 0, x = -3, x = 2

• x = 0, x = -2, x = 3

• x = 0, x = 3, x = -2

• x = 0, x = 2, x = -3