What is the discriminant of the polynomial below 2x^2+4x-9

The discriminant of given polynomial is 88.

Step-by-step explanation:

We have given a polynomial.

2x²+4x-9

We have to find the discriminant of given polynomial.

From polynomial, a = 2, b = 4 and c = - 9

The formula to find discriminant is

b²-4ac

Putting values in above formula, we have

(4) ²-4 (2) (-9)

16+72

88

The discriminant of given polynomial is 88.

Discriminant = 88

Step-by-step explanation:

The general form of quadratic polynomial is:

P (x) = ax² + bx + c ⇒ a is the coefficient of x², b is the coefficient

of x and c is the numerical term

∵ The discriminant of P (x) = ax² + bx + c is b² - 4ac

∵ P (x) = 2x² + 4x - 9

∴ a = 2, b = 4, c = - 9

∴ Discriminant = (4) ² - 4 (2) (-9) = 16 + 72 = 88