Then the polynomial that we can make with the given information:
f(x) = -0.6*(x + 5)*(x + 2)*(x - 1)
How to find the equation of the polynomial?
First, we know that the zeros of our polynomial are:
Then if we define the leading coefficient as a, then we can write the polynomial in the factored form as:
f(x) = a*(x + 5)*(x + 2)*(x - 1)
Now we also know that the y-intercept is (0, 6), which means that:
f(0) = 6 = a*(0 + 5)*(0 + 2)*(0 - 1)
6 = a*(5)*(2)*(-1)
6 = -10a
6/-10 = a
-0.6 = a
Then the polynomial is:
f(x) = -0.6*(x + 5)*(x + 2)*(x - 1)
If you want to learn more about polynomials:
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