Question 1175475
<br>
Factor {{{x^2-16x+60}}}<br>
It will factor into the product of two linear polynomials.<br>
The positive constant ("+60") tells us that the signs in both factors are the same; then the negative linear term ("-16x") tells us the signs are both negative.<br>
So the polynomial factors in the form<br>
{{{x^2-16x+60 = (x-a)(x-b)}}}<br>
With the given coefficients -16 and +60, we need two integers a and b with a sum of 16 and a product of 60.  Quick mental arithmetic tells us the two numbers are 6 and 10.  So<br>
{{{x^2-16x+60 = (x-6)(x-10)}}}<br>