Question

The coefficient of x^2 in the product (2x- 1)(2x +1) *

Answer 1

Answer:

4 is the coefficient of x^2 in given equation

Answer 2

Answer: 4.

Explanation:

(2x - 1)(2x + 1)

= (2x)² - (1)²

= 4x² - 1.

=> Coefficient of x² is 4.

More:

In a polynomial, there exists a unique relationship between the coefficients of variables (involvong the constant term) with their zeroes.

For a quadratic polynomial,

• x + y = - b/a
• xy = c/a

For a cubic polynomial,

• x + y + z = - b/a
• xy + yz + xz = c/a
• xyz = - d/a.

(If, x, y, and z are zeroes.)

These are popularly known as Vieta's formulae.