Question

What is the discriminant of the polynomial below 9x2 - 18x + 9?

Answer 1

The discriminant of the given polynomial is 0.

Explanation:

The discriminant of a quadratic polynomial
`p(x)=ax^2+bx+c` is

`D=b^2-4ac`

The given expression is

`9x^2-18x+9`

Here,

`a=9,b=-18,c=9`

The discriminant of a given polynomial is

`D=(-18)^2-4(9)(9)`

`D=324-324`

`D=0`

Therefore the discriminant of the given polynomial is 0.

Answer 2

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