Let f(x)=x^2−13x+30 . what are the zeros of the function?and

The zeros of the given function are 3 and 10

Step-by-step explanation:

Given : Function

We have to find the zeros of the given function

Consider the given function

Since, we have to find the zeros of the given quadratic equation

Put f(x) = 0

That is

Now we will solve the above quadratic equation using middle term splitting method,

-13x can be written as -3x- 10x

Taking x common from first two term and -3 common from last two terms, we have,

Taking (x- 10) common, we have,

Using zero product rule,  

and

Simplify, we have,

and

Thus, The zeros of the given function are 3 and 10.