Question

The sum of zeroes of the quadratic polynomial $x^2 + 2x + 5$ will be :

• A. 2
• B. -2
• C. 5
• D. -5

Hint:

The sum of zeroes is related to the coefficient of $x$, while the product of zeroes ($\frac{c}{a}$) is related to the constant term.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
For a quadratic polynomial $ax^2 + bx + c$, the sum of the zeroes ($\alpha + \beta$) is given by the formula $-\frac{b}{a}$.
Step 2: Identifying Coefficients:
From the polynomial $x^2 + 2x + 5$, we have:
$a = 1$
$b = 2$
$c = 5$
Step 3: Calculating the Sum:
Using the formula $\text{Sum} = -\frac{b}{a}$: \[ \text{Sum} = -\frac{2}{1} = -2 \]
Step 4: Final Answer:
The sum of the zeroes is -2.