Finding the polynomial when given three zeros - Online Tutor

The video tutorial explains how to find the zeros of a polynomial and how to work backwards from given zeros to write them as linear factors. It covers solving for zeros using factoring, the FOIL method for polynomial expansion, and concludes with a recap of the process. The tutorial emphasizes understanding the relationship between zeros and factors, and how to apply these concepts in polynomial equations.

What is the first step in finding the zeros of a polynomial like X^2 + 7X + 6 = 0?

• Divide by the highest power of X

• Add all coefficients

• Factor the polynomial

• Multiply the terms

If you are given the zeros of a polynomial, what should you do to find the polynomial?

• Write them as linear factors

• Add them together

• Subtract them from each other

• Multiply them directly

What is the factored form of a zero at X = -1?

• X - 1

• X + 0

• X + 1

• X - 0

Which method is used to expand the polynomial from its factors?

• Division method

• Addition method

• Subtraction method

• FOIL method

What is the relationship between zeros and factors of a polynomial?

• They are unrelated

• They are multiplied together

• They are the same

• They are opposites