Find the x and y Intercepts y=x^2-x-6

Problem

y=x2−x−6

Solution

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

y=0−0−6

y=−6

2. Find the x-intercepts by setting y=0 and solving the resulting quadratic equation.

0=x2−x−6

3. Factor the quadratic expression by finding two numbers that multiply to −6 and add to −1

0=(x−3)*(x+2)

4. Apply the zero product property to solve for x

x−3=0⇒x=3

x+2=0⇒x=−2

Final Answer

x-intercepts: *(3,0),(−2,0); y-intercept: *(0,−6)

Want more problems? Check here!