t2-6t-16t2-8t+15

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -16 and whose sum is -6.

-8,2

Write the factored form using these integers.

(t-8)(t+2)t2-8t+15

(t-8)(t+2)t2-8t+15

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is -8.

-5,-3

Write the factored form using these integers.

(t-8)(t+2)(t-5)(t-3)

(t-8)(t+2)(t-5)(t-3)

Cancel the Common Factors (t^2-6t-16)/(t^2-8t+15)