3x^3 - 15x^2 + 18x
Russian Peasant method doesn't work...
with the quadratic formula i get...
(15 +/- 3) divided by 6
but the problem asks me to factor.. not solve.. and plus it cannot be solved since the original problem did not equal anything
any ideas?
2007-10-29 15:49:51 · 10 answers · asked by Mr.Deeds 5 in Science & Mathematics ➔ Mathematics
yes
3x (x^2 - 5x + 6)
3x (x+2) (x-3)
2007-10-29 15:54:15 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The quadratic formula gives you x= two somethings. The factors are then x-one something and x-the other something.
Back to RPM (russian peasant method). You factor out 3x, and remainng is x^2-5x+6. Even a Russian Peasant should figure out this is (x-2)(x-3).
2007-10-29 16:00:36 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
Hello
Lets start with 3x^3 - 15x^2 + 18x.
Factor out the GCF: 3x(x^2 - 5x + 6)
This would be 3x(x-3)(x-2)
Hope this helps
2007-10-29 15:54:46 · answer #3 · answered by Jeff U 4 · 0⤊ 0⤋
Factor out 3x from the equation and you get 3x(x^2-5x+6) Then factor what in the parenthesis and you get 3x(x-2)(x-3)
2007-10-29 16:00:01 · answer #4 · answered by Tandra 2 · 0⤊ 0⤋
3x( x2 -5x + 6)
3x(x-3)(x-2)
If you can finagle, the roots by looking at the equation you can apply the quadratic formula to the x2 - 5x + 6
and get for the equation to equal zero x=3 or x=2
which means that (x-2) and (x-3) are factors of your original expression
2007-10-29 15:59:45 · answer #5 · answered by Grendel 2 · 0⤊ 0⤋
alright i can see that you can take out a 3X from this equation so your new equation would look like 3x(x^2-5x+6) then factor x squared minus five x plus s to be 3x(x-3)(x+2) there you go you can factor this problem
2007-10-29 17:03:06 · answer #6 · answered by ? 1 · 0⤊ 0⤋
You can't use the quadratic equation on a 3rd degree polynomial.
factor out 3x:
3x(x²-5x+6)
Use the quadratic equation on the (x2-5x+6) term
2007-10-29 15:56:15 · answer #7 · answered by DWRead 7 · 0⤊ 0⤋
First,factorise the 3x :
3x³ - 15x² + 18x=3x(x²-5x+6)
Do the further factorisation:
=3x(x-3)(x-2)
Final answer:3x(x-3)(x-2)
2007-10-29 16:08:05 · answer #8 · answered by Anonymous · 0⤊ 0⤋
factor out the g.c.f. which is 3x
3x(x^2 - 5x + 6) now factor the trinomial
3x(x - 3)(x - 2)
can you see why the quad.form. gives 3 and 2
as answers?
2007-10-29 16:00:31 · answer #9 · answered by ssssh 5 · 0⤊ 0⤋
3x(x-2)(x-3)
2007-10-29 15:56:55 · answer #10 · answered by xandyone 5 · 0⤊ 0⤋