Question

Can someone help me with the problem below please

Answer 1

Find the roots and domain of \[\frac{ x^2+3x-10 }{ x-4 }\]

Answer 2

Domain: Where would it be undefined?

Answer 3

umm in x^2

Answer 4

Nope! Where does the bottom term equal 0? Hint: Solve x - 4 = 0

Answer 5

x=4

Answer 6

Right! So the bottom cannot be 4. But it can be any other number. So what is the domain, based off that?

Answer 7

it would be 4 to infinity

Answer 8

And it would be from the other side. -infinity to 4. So domain is (-infinity, 4)(4,infinity)

Answer 9

oh ok

Answer 10

Now for the roots, can you solve the top polynomial?

Answer 11

Hint: Factor it!

Answer 12

ok

Answer 13

so (x+5)(x-2) ?

Answer 14

Yea. Now what's the roots of it?

Answer 15

-5 & 2

Answer 16

Right on! Good job.

Answer 17

Thank you