Write the equation of a polynomial with a rational zero

The video tutorial explains how to set zeros equal to X and avoid fractions in polynomials by multiplying both sides by a number. It covers multiplying expressions using the FOIL method and recommends the box method for organizing and simplifying trinomials. The tutorial emphasizes repetition and practice to master these techniques.

What is the first step in solving a polynomial equation when given zeros?

• Set each zero equal to X

• Divide each zero by X

• Add all zeros to the equation

• Multiply all zeros together

Why is it recommended to multiply by a common denominator instead of subtracting fractions?

• To simplify the addition process

• To avoid dealing with fractions

• To increase the number of terms

• To make the equation more complex

Which method is suggested for multiplying the first two equations?

• Graphical method

• Box method

• Substitution method

• FOIL method

What is the advantage of using the box method over the FOIL method?

• It requires fewer steps

• It is more accurate

• It organizes products and combines like terms more easily

• It is faster

What is the final polynomial equation obtained in the tutorial?

• 2X^3 - 5X^2 + 7X - 3

• 3X^3 - 8X^2 - 68X + 48

• X^3 + 4X^2 - 6X + 2

• 3X^2 + 12X - 2X - 8