Question

g(x)=X^2-12x^2+46x-52 has real root x=2 . FInd the remaining roots and factor g completley.

Answer 1

Are you sure you've typed that correctly?

Answer 2

oh your right thats supposed to be a x^3

Answer 3

Well, one obstacle out of the way :-)

How will you proceed?

Answer 4

yeah :] well i did synthetic division

Answer 5

and found if it had a zero but i dont know how to factor g

Answer 6

Well, what do you have left after you divide out (x-2)?

Answer 7

theres a 1 -10 26

Answer 8

So as a polynomial, that would be...

Answer 9

um x^3-10x^2 +26?

Answer 10

no...we had an x^3 and divided by x, so that represents...

Answer 11

x^2?

Answer 12

i feel like i did sometihing wrong on the equation

Answer 13

After we divide out (x-2) we are left with x^2-10x+26, which cannot be factored, but can be solved by the quadratic equation, or completing the square. What do you get for the roots when you do so?