Find the x and y Intercepts y=x^2+6x+5

Problem

y=x2+6*x+5

Solution

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

y=0+6*(0)+5

y=5

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

0=x2+6*x+5

3. Factor the quadratic expression by finding two numbers that multiply to 5 and add to 6

0=(x+5)*(x+1)

4. Apply the zero product property to solve for x

x+5=0⇒x=−5

x+1=0⇒x=−1

Final Answer

x-intercepts: *(−5,0),(−1,0); y-intercept: *(0,5)

Want more problems? Check here!