Question

What is the discriminant of the polynomial below 2x2 + 5x - 8?

Answer 1

Answer:

The discriminant of the given polynomial is 89.

Step-by-step explanation:

The given polynomial is

$P(x)=2x^2+5x-8$            .... (1)

If a polynomial is defined as

$P(x)=ax^2+bx+c$            .... (2)

then the discriminant of the polynomial is

$D=b^2-4ac$

From (1) and (2), we get

$a=2,b=5,c=-8$

The discriminant of the given polynomial is

$D=(5)^2-4(2)(-8)$

$D=25+64$

$D=89$

Therefore the discriminant of the given polynomial is 89.

Answer 2

The discriminant is 89