Question 1126477
y-intercept:
{{{ P(0) = 0^2 + 6*0 + 7 }}}
{{{ P(0) = 7 }}}
x-intercept;
{{{ P(x) = 0 }}}
{{{ x^2 + 6x + 7 = 0 }}}
complete the square
{{{ x^2 + 6x + 9 = -7 + 9 }}}
{{{ ( x + 3 )^2 = 2 }}}
{{{ x + 3 = sqrt(2) }}}
{{{ x = -3 - sqrt(2) }}}
{{{ x = -3 + sqrt(2) }}}
( there are 2 x-intercepts )