Write the equation of the polynomial given the zeros

The video tutorial explains how to find a polynomial given its zeros. It starts by introducing the concept of zeros and how they relate to polynomial functions. The instructor demonstrates setting zeros as factors and multiplying them to form a polynomial. The associative property is used to simplify the multiplication process, and the difference of two squares is applied. Finally, the tutorial concludes with deriving the final polynomial expression.

What is the first step in finding a polynomial when given its zeros?

• Express the zeros as intercepts

• Multiply the zeros directly

• Graph the zeros on a number line

• Use the quadratic formula

How do you write a polynomial as a product of factors?

• By subtracting the zeros

• By dividing the zeros

• By using the zero product property

• By adding the zeros

What property is used to rearrange parentheses for easier multiplication?

• Identity property

• Distributive property

• Commutative property

• Associative property

Which method is suggested for multiplying the factors of a polynomial?

• Using the quadratic formula

• Using the binomial theorem

• Using the difference of squares

• Using the Pythagorean theorem

What is the final form of the polynomial after expansion?

• X^3 + 8X^2 - 16X + 5

• X^3 + 10X^2 - 27X + 22

• X^3 - 10X^2 + 27X - 22

• X^3 - 8X^2 + 16X - 5