Write the equation of a polynomial given binomial irrational zeros

The video tutorial explains the importance of including conjugates when dealing with square roots and zeros. It guides students through setting equations to zero and multiplying trinomials, using the difference of squares method. The lesson concludes with a final calculation, emphasizing the importance of these concepts for quizzes and tests.

Why is it important to include the conjugate when dealing with square roots in polynomials?

• To ensure all possible zeros are considered

• To simplify the polynomial

• To make the polynomial linear

• To eliminate imaginary numbers

What is the purpose of setting each zero equal to zero in a polynomial?

• To find the polynomial's degree

• To determine the polynomial's leading coefficient

• To simplify the polynomial

• To identify the polynomial's zeros

What is the benefit of using the difference of squares when multiplying terms?

• It increases the polynomial's degree

• It simplifies the multiplication by removing middle terms

• It eliminates the need for conjugates

• It makes the polynomial linear

How does grouping terms help in simplifying the multiplication process?

• It makes the polynomial quadratic

• It changes the polynomial's degree

• It reduces the number of terms to multiply

• It eliminates the need for the box method

What is the final expression obtained after applying the box method?

• X^2 - 2X + 1

• X^3 - 3X^2 + 2

• X^3 + 2X - 1

• X^2 - 3X + 2