FINDING THE ROOTS OF POLYNOMIAL EQUATIONS BY APPLYING THE ZERO-PRODUCT PROPERTY
Answer the following.
1. When do we say that a real number, say r, is a root of a given polynomial equation in x?
2. Recall the Zero-Product Property. State this property and apply this to solve the equation (x - 1)(x-3) = 0. Is the result consistent with the Fundamental Theorem of
Algebra?
3. Find the roots of the following polynomial equations by applying the Zero-Product Property.
a. (x + 3)(x-2)(x + 1)(x - 1) = 0
b. (x + 5) (x - 5) (x + 5) (x - 1) = 0
c. x²(x - 9) = 0
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