Respuesta :
Answer: The roots of the polynomial equation are 5 and -16.
Step-by-step explanation:
Since we have given that
[tex]x^2+11x-80=0[/tex]
So, we need to find the roots of the polynomial equation:
We will use "Split the middle term":
[tex]x^2+11x-80=0\\\\x^2+16x-5x-80=0\\\\x(x+16)-5(x-16)=0\\\\(x-5)(x+16)=0\\\\x=5,-16[/tex]
Hence, the roots of the polynomial equation are 5 and -16.
