Find the x and y Intercepts y=x^2+2x-24

Problem

y=x2+2*x−24

Solution

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

y=0+2*(0)−24

y=−24

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

0=x2+2*x−24

3. Factor the quadratic expression by finding two numbers that multiply to −24 and add to 2

0=(x+6)*(x−4)

4. Apply the zero product property to solve for x

x+6=0⇒x=−6

x−4=0⇒x=4

Final Answer

x-intercepts: *(−6,0),(4,0); y-intercept: *(0,−24)

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