Question

F(x) =x2-17x+60 how to find the zeros of the function​

Answer 1

x = 5, x = 12.

Explanation:

This is a quadratic function which may factor to the form (x - a)(x - b) whose zeroes are a and b.

To factor this we need two numbers whose product is +60 and whose sum is -17. They are -5 and -12 ( -5*-12 = 60 and -12 + -5 = -17).

So the factors are :

(x - 5)(x - 17)

To find the zeros we equate this to 0:

(x - 5)(x - 17) = 0

x- 5 = 0 gives x = 5

and

x - 12 = 0 gives x = 12.

Answer 2

x = 1&16

Explanation:

f(x) = 0 then

0 =x^2 - 17x + 16

(x-1)(x-16) =0

x -1 =0 or x-16=0

x =1 & x = 16