Find the x and y Intercepts y=x^2+8x+7

Problem

y=x2+8*x+7

Solution

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

y=0+8*(0)+7

y=7

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

0=x2+8*x+7

3. Factor the quadratic expression by finding two numbers that multiply to 7 and add to 8

0=(x+7)*(x+1)

4. Solve for x by setting each factor equal to zero using the zero product property.

x+7=0⇒x=−7

x+1=0⇒x=−1

Final Answer

x-intercepts: *(−7,0),(−1,0); y-intercept: *(0,7)

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