Question

Where would the zeros be plotted on this graph of the function f(x)=(x-1)(x-7)

Answer 1

If we have a polynomial written in the form:

`f(x)=(x-x_1)(x-x_2)...(x-x_n)`

Then,

`x_1,x_2,...,x_n`

are x values of the zeros of the polinomial. In this case:

`f(x)=(x-1)(x-7)`

Thus, x = 1 and x = 7 are zeros of the function.

Since in the zeros the y coordinate is y = 0, then:

Zeros:

(1, 0)

(7, 0)

Thus, in the graph: