In order to factor quadratic equaitons with a 1 as the first coefficient, we look for two numbers that multiply to the last number (28), but add up to the middle number (-11). To do this, we often list the factors of the last number.
Factors of 28
1, 28
-1, -28
2, 14
-2, -14
4, 7
-4, -7
The numbers -4 and -7 satisfy this requirement and are therefore the numbers we want. Now we stick them into parenthesis along with x terms in the front like this:
To get the value of Connie's deposits we use the future value of annuity: FV=P[((1+r)^n-1)/r] where: P=periodic deposits r=rate n=time thus plugging our values in the formula we get: FV=2000[((1+0.05)^4-1)/0.05] FV=$8620.25
