Write the equation of the polynomial given the zeros

The video tutorial explains how to handle roots and conjugates in polynomials, identify zeros, and use the zero product property to find factors. It then demonstrates converting linear factors into standard form and finalizing the polynomial function by combining terms.

What is the purpose of including both positive and negative versions of square roots when identifying zeros?

• To ensure all possible solutions are considered

• To simplify the polynomial

• To eliminate irrational numbers

• To make the polynomial linear

How do you convert zeros into factors of a polynomial?

• By multiplying them by a constant

• By adding them to the polynomial

• By setting them equal to zero

• By dividing them by the polynomial

What property is applied to break up the product to find the factors of a polynomial?

• Associative Property

• Commutative Property

• Distributive Property

• Zero Product Property

Which method can be used to multiply factors to convert a polynomial into its standard form?

• Addition of squares

• Division of roots

• Difference of squares

• Subtraction of cubes

What is the final form of the polynomial function after multiplying the factors?

• X^3 + 9X^2 - 20

• X^2 + 9X + 20

• X^2 - 9X - 20

• X^3 - 9X^2 + 20