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

Question

asked Dec 14, 2020 184k views

2 Answers

Yury Finchenko · Answer 1 · 2020-12-19T02:38:18+0000

ANSWER

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