Question

Which function has zeros at x = 10 and x = 2?

Answer 1

For those zeros, the corresponding factors are (x-10) and (x-2).

f(x) = the function in question = f(x) = (x-10)(x-2). Please mult. this out and then arrange the (3) terms in descending powers of x.

Answer 2

`\text{The function is }f(x)=x^2-12x+20`

Explanation:

Given the zeroes x=10 and x=2

we have to find the function.

Zeroes of function are those values which gives the values 0 when substitute in the function.

Hence, the function can be written as

`f(x)=(x-10)(x-2)`

Expanding, we get

`f(x)=x(x-2)-10(x-2)=x^2-2x-10x+20`

`f(x)=x^2-12x+20`

which is the required function.