Find the x and y Intercepts y=(x-1)(x-3)

Problem

y=(x−1)*(x−3)

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=(0−1)*(0−3)

y=(−1)*(−3)

y=3

2. Find the x-intercepts by setting y=0 and solving for x

0=(x−1)*(x−3)

3. Apply the Zero Product Property to solve for the roots.

x−1=0⇒x=1

x−3=0⇒x=3

Final Answer

x-intercepts: *(1,0),(3,0); y-intercept: *(0,3)

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