ANSWER
True
EXPLANATION
The given quadratic polynomial is
[tex]32 {x}^{2} + 16x - 57[/tex]
We have a=32,b=16,c=-57
Recall and use the discriminant,
[tex]D = {b}^{2} - 4ac[/tex]
[tex]D = {16}^{2} - 4(32)( - 57)[/tex]
[tex]D =256 + 7296 = 7552[/tex]
Since the discriminant is positive, the polynomial has two real roots.
The correct choice is True
