What is the meaning of "to within a factor of something"? so for example to within a factor of 3

Explanation:

It means the result of your calculation doesn't differ from the actual value by more than a factor of 3 (or "something").

For example, suppose you're estimating the volume of a lake. You estimate it to be 100,000 acre-feet. If its actual volume is 265,000 acre-feet, your estimate is within a factor of 3 of the correct volume. (You are too low by a factor of 2.65.)

If your estimate were 700,000 acre-feet, you would still be within a factor of 3 of the correct value. (You would be too high by a factor of 2.64.)

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This sort of tolerance allowance is usually specified for things that are difficult to estimate. A factor of 3 is generous, but requires you have a pretty good guess as to many of the parameters involved. For example, it may be unlikely you could estimate the number of grains of sand on a beach within such a factor. On the other hand, you could probably easily estimate the number of candies in a jar within that tolerance.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

answer: asdfghjkl,mnbv

step-by-step explanation: