Question

question 6 of 10
what is the discriminant of the polynomial below?
$4x^2 + 4x + 1$

a. 0
b. 32
c. -4
d. -12

Explanation:

Step1: Recall discriminant formula

For a quadratic polynomial \(ax^2 + bx + c\), the discriminant \(D\) is given by \(D = b^2 - 4ac\).

Step2: Identify coefficients

In the polynomial \(4x^2 + 4x + 1\), we have \(a = 4\), \(b = 4\), and \(c = 1\).

Step3: Calculate discriminant

Substitute the values into the formula: \(D=(4)^2 - 4\times4\times1\)
\(= 16 - 16\)
\(= 0\)

Answer:

A. 0