given that f(x) is a degree 3 polynomial with zeros at -8, 1, 6, find an equation for f(x) given that f(-4) = 7.

First we know f(x) is a 3rd degree polynomial => it has the following form.

There is however a very famous theorem, namely ''The fundamental Theorem of Algebra'' which states that any polynomial equation of degree n, has n roots/zeroes in the real and imaginary set.

But we also know if r is a root of a polynomial than the binomial (x-r) is a factor of the original equation, these 2 statements combined give rise to the following:

Using the following means that in your problem the polynomial is constructed by taking the product of the linear factors / (x-r) where r are the roots. One such factor for each root which yields:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.