SOLUTION
We want to find the x-intercept of the equation
[tex]y=x^2+15x+56[/tex]The x-intercept is the root of the equation which is gotten as making y to be 0, we have
[tex]\begin{gathered} 0=x^2+15x+56 \\ x^2+15x+56=0 \\ x^2+8x+7x+56=0 \\ x(x+8)+7(x+8)=0 \\ (x+7)(x+8)=0 \\ x=-7 \\ x=-8 \end{gathered}[/tex]So the x-intercept becomes
(-8, 0) and (-7, 0)
Note that y will be zero
Hence the answer is
(-8, 0) and (-7, 0)
