How to write the equation of a polynomial with irrational zeros

The video tutorial covers the process of understanding zeros and rewriting them as factors, explaining the difference of two squares, and understanding perfect square trinomials. It also demonstrates how to combine like terms in polynomial expressions, using methods like the box method and distributive property for multiplication.

What is the first step in rewriting zeros as factors in a polynomial equation?

• Set the zeros equal to Y

• Set the zeros equal to X

• Divide the zeros by X

• Multiply the zeros by 2

What is the result of multiplying the first two terms in a difference of squares?

• X^2

• X^4

• 0

• 3

In a difference of squares, what happens to the middle terms?

• They add to 0

• They multiply to 0

• They add to 1

• They add to 3

Which method can be used to multiply a binomial and a trinomial?

• Box method

• Substitution method

• Division method

• Addition method

What is the final expression after combining like terms in the given polynomial multiplication?

• X^4 + 2X^3 - 2X^2 - 6X - 3

• X^4 + X^3 - X^2 - 3X - 1

• X^4 + 2X^3 - X^2 - 6X - 3

• X^4 + 3X^3 - 2X^2 - 6X - 3