Question

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

Answer 1

The discriminant of given polynomial is 88.

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.

Answer 2

Discriminant = 88

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