Question

what is the y-intercept of the polynomial function $f(x) = (x - 1)(x - 2)$?
use the keypad to enter your answer in the box.
the y-intercept is \boxed{}.

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \( f(x) \) is the value of \( f(x) \) when \( x = 0 \).

Step2: Substitute \( x = 0 \) into the function

Given the polynomial function \( f(x)=(x - 1)(x - 2) \), substitute \( x = 0 \) into it:
\( f(0)=(0 - 1)(0 - 2) \)

Step3: Simplify the expression

First, calculate the values inside the parentheses: \( 0-1=-1 \) and \( 0 - 2=-2 \). Then multiply these two results: \( (-1)\times(-2)=2 \).

Answer:

2