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The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
<h3>What is a polynomial?</h3>A polynomial is an algebraic equation with at least the power of its variable 3.
Analysis:
if -2, -6, -10i are the zeroes of the polynomial, it means x = -2, x = -6, x = -10i
if x = -2, (x+2) is a factor, (x+6) is a factor.
convert x = -10i to a real number,
i =
-10 = 10
= 10
= 10
x = 10, so (x-10) is a factor.
Therefore equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
Learn more about polynomial: brainly.com/question/2833285
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Answer:
see attached
Step-by-step explanation:
One way to approximate the derivative at a point is by finding the slope of the secant line between points on either side. That is what is done in the attached spreadsheet.
f'(0.1) ≈ (f(0.2) -f(0.0))/(0.2 -0.0) = -5 . . . for example
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Another way to approximate the derivative is to write a polynomial function that goes through the points (all, or some subset around the point of interest), and use the derivative of that polynomial function.
These points are reasonably approximated by a cubic polynomial. The derivative of that polynomial at the points of interest is given in the table in the second attachment. (f1 is a rounding of the derivative function f')
