Find the value of f(15) if f(x) = 100x – 5x2.

this problem is to replace the variable (here "x" ) with a certain numerical value.

the given function is f(x) followed by the algebraic expression " 100x -5x^2 "

now u r asked to find f(15), mean u have to find the value of the "expression" with the numerical value "15" replacing "x"

so it looks like this:

f(x) = 100x -5x^2

f(15) = 100*15 - 5*(15)^2   [only "x" got replaced by it's numerical value "15"]

now u can calculate it

so

f(15) = 1500 - 5*225 = 1500 - 1125 = 375 (Ans.)

hope u got the basic idea.

feel free to ask if u have further queries.

all the best!

A factored polynomial will reveal the solutions of the function because of the fact that you can set the different factors equal to 0.

An unfactored polynomial will not allow you to find the solutions, however it is easier to differentiate in case you wanted to find the turning points.

For your answer though, i recommend you just write about how a factored polynomial will reveal the solutions. (By the way, solutions are where the equation crosses the x-axis.)

Best of luck!