Question 173399
{{{5x^2-19x-4}}}   you must start with the factors that you know
:
 in the first terms of the factoring you have a combo of 5x and x as choices. In the second terms you have 1 and 4 as the possibles......so we need to maneuver those to meet our goal the middle term of -19x which always comes from a combination of the o and i(the outside and inside terms) in foil(first,outside,inside,last)
:
{{{(5x+1)(x-4)}}}...... the 5x has to be combined with the 4 while the x is combined with the one.....so as to get that -19x ( the outside(o) term is 5x(-4) and the inside(i) term is 1(x))... you must remember when you have a coefficient larger than 1 in the squared term it makes it more of a guessing game...This one is rather simple because there arent that many choices......Ther first terms are usually pretty easy....but sometimes the second terms can have multiple combinations to test.
:
{{{system(x=4,x=-1/5)}}}