Use the description below to write the formula (in factored form) for a polynomial of least
degree.
If you have a non-integer coefficient then write it as a fraction. Organize factors (left to right)
from smallest zero to largest.
Description:
The degree of the polynomial is 3. Zeros at x=-5, x=-2, and x=1. Y intercept at (0,6).
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facundo3141592 facundo3141592 · Answer 1 · 2022-08-19T18:19:38+02:00

Then the polynomial that we can make with the given information:

f(x) = -0.6*(x + 5)*(x + 2)*(x - 1)

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:

https://brainly.com/question/4142886

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