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A quadratic polynomial having zeroes 0 and - 2, is
A quadratic polynomial having zeroes 0 and - 2, is
This Question has 1 answers.
The standard form of a quadratic polynomial when its zeroes are $\alpha$ and $\beta$ is:
$p(x) = k(x - \alpha)(x - \beta)$, where $k$ is a constant.
Given zeroes: $\alpha = 0$, $\beta = -2$
Substituting the values:
$p(x) = k(x - 0)(x + 2)$
$p(x) = kx(x + 2)$
$p(x) = k(x^2 + 2x)$
For simplicity, let $k = 1$:
$p(x) = x^2 + 2x$
$p(x) = k(x - \alpha)(x - \beta)$, where $k$ is a constant.
Given zeroes: $\alpha = 0$, $\beta = -2$
Substituting the values:
$p(x) = k(x - 0)(x + 2)$
$p(x) = kx(x + 2)$
$p(x) = k(x^2 + 2x)$
For simplicity, let $k = 1$:
$p(x) = x^2 + 2x$
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