Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 2 : 6x2 - x - 4 = 0 ((2•3x2) - x) - 4 = 0 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring 6x2-x-4
The first term is, 6x2 its coefficient is 6 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -1 .
-24 + 1 = -23 -12 + 2 = -10 -8 + 3 = -5 -6 + 4 = -2 -4 + 6 = 2 -3 + 8 = 5 -2 + 12 = 10 -1 + 24 = 23
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factoredEquation at the end of step 2 : 6x2 - x - 4 = 0