Write the equation of the polynomial given two radical zeros

The video tutorial explains solving equations using the zero product property. It begins with setting up the problem and identifying zeros. The instructor demonstrates how to apply the zero product property by setting factors equal to zero. The process involves multiplying and simplifying expressions using the difference of squares. The tutorial concludes with the final solution and a brief Q&A session.

What is the first step in finding the zeros of a polynomial?

• Set the polynomial equal to zero

• Multiply all terms

• Add all coefficients

• Divide by the highest degree term

How do you express a polynomial as a product of its factors?

• By adding the zeros

• By setting the zeros as factors

• By dividing the polynomial by its degree

• By subtracting the coefficients

What method is used to multiply the factors in the final section?

• Product of sums

• Difference of squares

• Sum of cubes

• Quotient of differences

What is the result of multiplying the factors X - sqrt(3) and X + sqrt(3)?

• X^2 - 6

• X^2 - 3

• X^2 + 6

• X^2 + 3

What is the final polynomial expression obtained after distributing the terms?

• X^3 - 6X

• X^3 + 6X

• X^3 - 3X

• X^3 + 3X