Find the x and y Intercepts y=x^2+2x-15

Problem

y=x2+2*x−15

Solution

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

y=0+2*(0)−15

y=−15

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

0=x2+2*x−15

3. Factor the quadratic expression by finding two numbers that multiply to −15 and add to 2

0=(x+5)*(x−3)

4. Apply the zero product property to solve for x

x+5=0⇒x=−5

x−3=0⇒x=3

Final Answer

x-intercepts: *(−5,0),(3,0); y-intercept: *(0,−15)

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