Finding a function given zeros with one of them a fraction - Online Tutor

The video tutorial explains how to find a polynomial with given zeros, using methods like the box method and difference of squares. It discusses handling fractions in factorization and constructing the final polynomial, emphasizing the relationship between zeros and polynomial degree.

What is the first step in expressing zeros as factors in a polynomial?

• Find the sum of the zeros

• Use the box method

• Write the zeros as factors

• Identify the degree of the polynomial

What is the result of multiplying the factors (X - 2) and (X + 2)?

• X^2 - 2X

• X^2 + 2X

• X^2 - 4

• X^2 + 4

Under what condition can a polynomial be expressed as a difference of squares?

• When the polynomial has a fractional zero

• When the polynomial is of even degree

• When the zeros are complex numbers

• When the zeros are plus or minus the same number

How can a fractional zero be converted into a more manageable form?

• By subtracting the fraction from both sides

• By dividing the entire equation by the numerator

• By multiplying the entire equation by the denominator

• By adding the fraction to both sides

What is the maximum number of zeros a polynomial can have?

• Equal to the degree of the polynomial

• One less than the degree of the polynomial

• Twice the degree of the polynomial

• Half the degree of the polynomial