Given irrational zeros, write the equation of a polynomial

The video tutorial covers solving equations involving square roots, focusing on the properties of square roots and the difference of squares method. It explains how to simplify expressions and finalize functions, providing a step-by-step approach to understanding these mathematical concepts.

What is the result when you take the square root of a number?

• Only the positive root

• Only the negative root

• Neither positive nor negative roots

• Both positive and negative roots

What is the result of multiplying (X - sqrt(7)) and (X + sqrt(7))?

• X^2 - 14

• X^2 + 7

• X^2 - 7

• X^2 + 14

What is the simplified form of X^2 - 7?

• X^2 + 7

• X^2 - 7

• X^2 - 14

• X^2 + 14

What is the result of using the FOIL method on (X - 3)(X^2 - 7)?

• X^3 + 3X^2 + 7X - 21

• X^3 + 3X^2 - 7X + 21

• X^3 - 3X^2 - 7X + 21

• X^3 - 3X^2 + 7X - 21

Why do we set the expression equal to Y in the final step?

• To form a function

• To solve for X

• To eliminate variables

• To simplify the equation