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

Question

The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :

Answer 1

To determine the sum of the zeroes for the quadratic polynomial $x^2 + 2x + 5$, we can use the relationship between the coefficients of a quadratic polynomial and its roots. For a quadratic polynomial of the form $ax^2 + bx + c$, the sum of the roots (or zeroes) is given by the formula:

$-\frac{b}{a}$

In the given polynomial, $x^2 + 2x + 5$, we identify the coefficients as follows:

$a = 1$
$b = 2$
$c = 5$

Substituting these values into the formula for the sum of the roots, we get:

$-\frac{2}{1} = -2$

Thus, the sum of the zeroes of the polynomial $x^2 + 2x + 5$ is $-2$, which matches with the option -2.

Therefore, the correct answer is -2.

Answer 2

To determine the sum of the zeroes for the quadratic polynomial $x^2 + 2x + 5$, we can use the relationship between the coefficients of a quadratic polynomial and its roots. For a quadratic polynomial of the form $ax^2 + bx + c$, the sum of the roots (or zeroes) is given by the formula:

$-\frac{b}{a}$

In the given polynomial, $x^2 + 2x + 5$, we identify the coefficients as follows:

$a = 1$
$b = 2$
$c = 5$

Substituting these values into the formula for the sum of the roots, we get:

$-\frac{2}{1} = -2$

Thus, the sum of the zeroes of the polynomial $x^2 + 2x + 5$ is $-2$, which matches with the option -2.

Therefore, the correct answer is -2.

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

Show Hint

The Correct Option is B

Solution and Explanation

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