To find the roots of the quadratic equation f(x) = x^2 + 6x + 8, we need to set the equation equal to zero and solve for x.
x^2 + 6x + 8 = 0
To factorize the equation, we need to find two numbers whose sum is 6 and product is 8. The numbers that satisfy these conditions are 2 and 4.
(x + 2)(x + 4) = 0
Now we set each factor equal to zero and solve for x:
x + 2 = 0
x = -2
x + 4 = 0
x = -4
Therefore, the roots of the quadratic equation f(x) = x^2 + 6x + 8 are x = -2 and x = -4.
f(x)=x^2+6x+8
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