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QUESTION

# How do I use zero factor property in reverse?

You use it to determine the polynomial function.

We can use it for higher degree polynomials, but let's use a cubic as an example. Suppose we have the : -3, 2.5, and 4. So:

x=-3 x+3=0

x=2.5 x=5/2 2x=5 multiply both sides by denominator 2x-5=0

x=4 x-4=0

So, the polynomial function is P(x)=(x+3)(2x-5)(x-4). Note that we can leave the second root as (x-2.5), because a proper polynomial function has integer coefficients. It's also a good idea to put this polynomial into standard form:

P(x)=2x^3-7x^2-19x+60

The common mistake in this problem is the sign of the roots. So make sure you do the individuals steps to avoid this mistake.