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

Answer:

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

Step-by-step 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.