The graph of a polynomial f(x) = (2x - 3)(x - 4)(x + 3) has x-intercepts at 3 values. What are they?

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The graph of a polynomial f(x) = (2x - 3)(x - 4)(x + 3) has x-intercepts at 3 values. What are they?

A few things to note:

• X-intercepts are found when y (or f(x)) is 0.
• On the right side, we have 3 monomials.
• Therefore, y or f(x) could be 0 when any of these monomials is 0

The 3 monomials are:

1. 2x - 3 = 0
2. x - 4 = 0
3. x + 3 = 0

Find all 3 x-intercepts:

1. 2x - 3 = 0. Using our equation calculator, we see that x = 3/2 or 1.5
2. x - 4 = 0 Using our equation calculator, we see that x = 4
3. x + 3 = 0 Using our equation calculator, we see that x = -3

So our 3 x-intercepts are:
x = {-3, 3/2, 4}