Question

Product of zeroes of polynomial \(5x^2-1\) is

• A. 1
• B. \(\frac{1}{2}\)
• C. \(\frac{1}{5}\)
• D. \(-\frac{1}{5}\)

Answer 1

The Correct Option is D

Step 1: Identify the given polynomial.

The given polynomial is \( 5x^2 - 1 \).

Step 2: Recognize the standard form of a quadratic polynomial.

The general form is: \( ax^2 + bx + c \)

Comparing: \( a = 5 \), \( b = 0 \), \( c = -1 \)

Step 3: Use the formula for product of zeroes of a quadratic polynomial.

The formula is:

\[ \text{Product of zeroes} = \frac{c}{a} \]

Step 4: Substitute the values.

\[ \text{Product of zeroes} = \frac{-1}{5} = -\frac{1}{5} \]

So, the product of the zeroes of the polynomial \( 5x^2 - 1 \) is \( -\frac{1}{5} \).

The correct option is (D): \(-\frac{1}{5}\)