Answer:
The discriminant of the given polynomial is 89.
Step-by-step explanation:
The given polynomial is
[tex]P(x)=2x^2+5x-8[/tex] .... (1)
If a polynomial is defined as
[tex]P(x)=ax^2+bx+c[/tex] .... (2)
then the discriminant of the polynomial is
[tex]D=b^2-4ac[/tex]
From (1) and (2), we get
[tex]a=2,b=5,c=-8[/tex]
The discriminant of the given polynomial is
[tex]D=(5)^2-4(2)(-8)[/tex]
[tex]D=25+64[/tex]
[tex]D=89[/tex]
Therefore the discriminant of the given polynomial is 89.
