Question

The polynomial 32x^2+16x-57 has two real roots TRUE OR FALSE

Answer 1

Answer: True

Step-by-step explanation: explanation

Answer 2

True

Step-by-step explanation

The given quadratic polynomial is

`32 {x}^(2) + 16x - 57`

We have a=32,b=16,c=-57

Recall and use the discriminant,

`D = {b}^(2) - 4ac`

`D = {16}^(2) - 4(32)( - 57)`

`D =256 + 7296 = 7552`

Since the discriminant is positive, the polynomial has two real roots.

The correct choice is True