Question

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

Answer 1

f(x) = x^2 – 12x + 20

Answer 2

The function f(x)=
`x^2-12x+20` has zeroes at x=10 and x=2.

Explanation:

Given the zeroes of the function at x=10 and x=2

x=10

x-10=0

x=2

x-2=0

Now , the factors of the function are (x-10) and (x-2)

The function can be obtain by multiplying these factors then we can write

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

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

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

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

Hence, the function is f(x)=
`x^2-12x+20` and the zeroes of function at x=10 and x=2.