Finding the polynomial when given three zeros - Online Tutor

The video tutorial explains how to find the zeros of a polynomial and the process of working backwards from given zeros to find the polynomial's factors. It covers the concept of zeros, roots, and solving polynomials, and demonstrates the use of the FOIL method for polynomial expansion. The tutorial concludes with a recap of the key concepts discussed.

What are the zeros of the polynomial X^2 + 7X + 6?

• X = 1 and X = 6

• X = -1 and X = -6

• X = 1 and X = -6

• X = -1 and X = 6

If you are given the zeros of a polynomial, what is the next step to find the polynomial?

• Add the zeros together

• Multiply the zeros

• Write the zeros as linear factors

• Divide the zeros by each other

How do you express the zero X = -3 as a linear factor?

• X / 3

• X + 3

• X - 3

• X * 3

What method is used to expand the product of linear factors?

• Division method

• FOIL method

• Distributive method

• Substitution method

What is the result of multiplying the factors (X - 3) and (X - 4)?

• X^2 + 7X - 12

• X^2 - 7X - 12

• X^2 + 7X + 12

• X^2 - 7X + 12