Question 204029
Factor:
{{{6c+c^2-27}}} Rearrange:
{{{c^2+6c-27}}} The factors will look like this:
{{{(c+m)(c+n)}}} where: {{{m*n = -27}}} and {{{m+n = 6}}}
Let's try some pairs of m&n's
m....n
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3....-9 {{{3*(-9) = -27}}} and {{{3+(-9) = -6}}} No good.
-3....9 {{{(-3)*9 = -27}}} and {{{-3+9 = 6}}} OK!
{{{highlight(c^2+6c-27 = (c-3)(c+9))}}}