SOLUTION: The question asks me to decompose the expression in factors. 2x(to the power of 2) - 6x + 8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The question asks me to decompose the expression in factors. 2x(to the power of 2) - 6x + 8      Log On


   



Question 1098995: The question asks me to decompose the expression in factors.
2x(to the power of 2) - 6x + 8

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
2x^2 - 6x + 8 = 2*(x^2-3x+4).


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2x%5E2+-+6x+%2B+8+
I can factor out +2+
+2%2A%28+x%5E2+-+3x+%2B+4+%29+
Use the quadratic formula
+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%28+2a+%29+
+a+=+1+
+b+=+-3+
+c+=+4+
+x+=+%28+-%28-3%29+%2B-+sqrt%28+9+-+4%2A1%2A4+%29%29+%2F+2+
+x+=+%28+3+%2B-+sqrt%28+-7+%29+%29+%2F+2+
+x+=+%28+3+%2B+sqrt%287%29%2Ai+%29%2F2+
and
+x+=+%28+3+-+sqrt%287%29%2Ai+%29%2F2+
The factors are:

You can multiply this out to check.