If the sum of the zeros is -7 and the product | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) quadratic polynomial with zeros $\alpha$ and $\beta$ is given by the formula: $p(x) = k[x^2 - (\alpha + \beta)x + (\alpha\beta)]$,where $k$ is a c

Vedclass · Accepted Answer

$p(x) = x^2 + 7x + 12$

Vedclass · Answer

(C) quadratic polynomial with zeros $\alpha$ and $\beta$ is given by the formula: $p(x) = k[x^2 - (\alpha + \beta)x + (\alpha\beta)]$,where $k$ is a constant.Given that the sum of the zeros $(\alpha + \beta) = -7$ and the product of the zeros $(\alpha\beta) = 12$.Substituting these values into the formula:$p(x) = x^2 - (-7)x + (12)$$p(x) = x^2 + 7x + 12$Thus,the correct option is $C$.

If the sum of the zeros is $-7$ and the product of the zeros is $12$,then the quadratic polynomial is $\ldots \ldots \ldots$

Similar Questions

The graph of $p(x) = x^{2} + 6x + 8$ is a ........

The graph of a linear polynomial $p(x) = ax + b$ intersects the $X$-axis at $\ldots \ldots \ldots \ldots$ (where $a \neq 0$).

Find the zeros of $p(x)=x^{3}-4 x$ and show them graphically.

The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

If $\alpha, \beta$ and $\gamma$ are the zeros of the cubic polynomial $p(x) = x^{3} - 6x^{2} - 7x$,then $\alpha + \beta + \gamma = \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module