Question

Find the x intercepts of f(x) = x^2-5x+6.

Answer 1

I created this function, and obviously I can google it to find the intercepts, but I need to explain my answer. How do I find the intercepts of this?

Answer 2

You know how to factor right?

Answer 3

Yeah, the factors of this are (x-3) and (x-2)

Answer 4

Hey, Jay, I like cookies too. Maybe too much. I weigh 231 lb.
You want x-intercepts? Then set f(x)=0. Why? because x-intercepts are on the x-axis, and y=0 describes the x-axis.

Answer 5

Set x-3 and x-2 equal to zero and solve for x. The values you get are the x intercepts.

Answer 6

Now just set our friends' factors = to 0 individually and solve each equation.
the results are the x-coordinates of the x-intercepts.
the y-coordinates are, of course, zero (0).

Answer 7

I already know the intercepts are x = 2 an x = 3, I just don't know how to get to that from my equation.

Answer 8

You have already gotten them from your equation.

Answer 9

I didn't get them from my equation though.. I got them by punching the polynomial into my calculator xD

Answer 10

So my factors are (x-2)(x-3). And I'll say.. 2 and 3 are the intercepts because _________?

Answer 11

That's where the graph touches the x axis.

Answer 12

Don't use calculators now...

Answer 13

Because the function value y is zero at each of those two x values. Again: x-intercepts are on the x-axis; the x-asix is described as y=0.

Answer 14

Exactly.

Answer 15

Nevermind, I got it. Now I don't know who to give the medal too. xD

Answer 16

All a medal or no medals to anybody???

Answer 17

I'd suggest give neither of us a medal.

Answer 18

Alrighty then. xD

Answer 19

Thanks, all!