Question

I need help with "solving zeros for a function"

Answer 1

If you know how to do it please reply!

Answer 2

It depends on the function....there is no set way to do it for all functions

Answer 3

f(x) = 0 has many forms

Answer 4

There are 3 questions... Can you help with all of them?

Answer 5

Post them.

Answer 6

Find the zeros of the function h(x) = x2 +4x by factoring.
What is the smallest zero of the function?

Answer 7

Plot the y-intercept and the vertex of the following function:
g(x) = - x^2 + 6x - 8
What is the smallest zero of the function?

Answer 8

h(x) = x^2 +4x <<< correction

Answer 9

Find the zeros of g(x) = -x^2 - 2x + 3

Answer 10

@lissa_bug

Don't post all your problems at once. Now you have posted two different g(x)

Answer 11

Sorry, he asked me to...

Answer 12

Anyway, set each expression equal to zero, in other words let g(x) and h(x) = 0:

0 = x^2 + 4x
0 = -x^2 + 6x - 8
0 = -x^2 -2x + 3

Answer 13

You want the leading term to be positive, so factor out a negative for the g(x). Factor out x for h(x):

0 = x(x + 4)
0 = -(x^2 - 6x + 8)
0 = -(x^2 + 2x - 3)

Answer 14

For g(x), divide both sides by -1

0 = x(x + 4)
0 = x^2 - 6x + 8
0 = x^2 + 2x - 3

Answer 15

Now you have to finish factoring the last two:
0 = x(x + 4)
0 = (x - 4)(x - 2)
0 = (x + 3)(x - 1)

Then use Zero Product Property to finish solving.

If you don't know how to factor, then you can learn about it here:
http://www.purplemath.com/modules/factquad.htm