Question

The function h(x) is defined by the expression x2 - 4x + 3. Use factoring

to determine the zeros of h(x). Show your work and explain how you could
also find the zeros on the graph of h(x) on paper, but ONLY enter the zeros
as your answer on the form.

(this question was from a google form)

Answer 1

The zeros are x = 1 and x = 3

In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.

Explanation:

Given the expression:

x² - 4x + 3

Rewrite -4x term:

x² - x - 3x + 3

Take x as common factor in the first terms, and -3 in the last terms:

x(x - 1) - 3(x - 1)

Take (x - 1) as common factor:

h(x) = (x - 1)(x - 3)