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The expression \(x^2 - 16x + 60\) can be written in the form \((x - a)(x - b)\), where \(a\) and  \(b\)  are both nonnegative integers and \(a > b\). What is the value of \(3b - a\)?

 Sep 14, 2018
 #1
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Factor the following:
x^2 - 16 x + 60

The factors of 60 that sum to -16 are -6 and -10. So, x^2 - 16 x + 60 = (x - 6) (x - 10):
(x - 10)(x - 6)

a=10   and   b=6

3b - a =18 - 10=8

 Sep 14, 2018

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