Respuesta :

The quadratic polynomial is
9x² - 18x + 9

When compared to the standard form ax² + bx + c, the coefficients of the given polynomial are
a = 9, b = -18, c = 9

The discriminant is
D = b² - 4ac = (-18)² - 4(9)(9) = 0

Answer:  0

Answer:

The discriminant of the given polynomial is 0.

Step-by-step explanation:

The discriminant of a quadratic polynomial [tex]p(x)=ax^2+bx+c[/tex] is

[tex]D=b^2-4ac[/tex]

The given expression is

[tex]9x^2-18x+9[/tex]

Here,

[tex]a=9,b=-18,c=9[/tex]

The discriminant of a given polynomial is

[tex]D=(-18)^2-4(9)(9)[/tex]

[tex]D=324-324[/tex]

[tex]D=0[/tex]

Therefore the discriminant of the given polynomial is 0.