Question #b895e

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
bhaskar m.
Nov 16, 2017

#(x-5)(x+4)#

Explanation:

You need to numbers that add up to the second coefficent (-1) and multiply to get the final constant (-20)

The numbers 4 and -5 work.

So we can rewrite our expression:

#x^2+4x-5x-20#

This is equal to this:

#x(x+4)-5(x+4)#

Which is equal to:

#(x-5)(x+4)#

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