Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains how to find all zeros of a polynomial when given a radical root. It begins by introducing the concept of zeros and the problem setup. The instructor then demonstrates using the square root property to find zeros, emphasizing the importance of considering both positive and negative roots. Next, synthetic division is used to verify the zeros, showing how it divides the polynomial evenly. Finally, the tutorial covers factoring polynomials and using conjugate pairs to find linear factors, concluding with the identification of all zeros using the Zero Product Property.

How do you find the other pair of a square root when given one root?

What are the final factors of the polynomial as derived in the text?

What are the zeros obtained from the factors using the Zero Product Property?