Writing the equation of a polynomial when given three zeros

The video tutorial explains how to handle zeros and factors in equations by setting them to zero and multiplying binomials using the box method. The instructor emphasizes the importance of taking two zeros at a time and demonstrates the multiplication process step-by-step, leading to the final solution of the equation. The tutorial aims to make the process less intimidating and more manageable for students.

What is the first step when dealing with zeros in a polynomial?

• Set all zeros equal to zero at once.

• Ignore the zeros and focus on coefficients.

• Multiply all zeros together immediately.

• Set each zero equal to X individually.

Why is it recommended to multiply only two binomials at a time?

• It is the only way to find the correct answer.

• It allows for more complex calculations.

• It is a faster method than multiplying all at once.

• It simplifies the process and reduces errors.

What is the result of multiplying (X - 1) and (X - 2) using the box method?

• X^2 - 3X + 2

• X^2 - 4X + 4

• X^2 - X + 2

• X^2 - 2X + 1

How do you handle the multiplication of a trinomial by a binomial using the box method?

• Multiply each term separately without a box.

• Add an extra row or column to the box.

• Use a different method entirely.

• Ignore the trinomial and focus on the binomial.

What is the final polynomial expression obtained after using the box method for the given problem?

• F(x) = X^3 - 7X^2 + 14X - 8

• F(x) = X^3 - 6X^2 + 12X - 8

• F(x) = X^3 - 4X^2 + 8X - 8

• F(x) = X^3 - 5X^2 + 10X - 8