Question

Quadratic polynomial having the zeros 4 and -2 is

Answer 1

Answer:

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Answer 2

$\alpha = 4 \: \beta = - 2$

We know that,

$\alpha + \beta = -\frac{b}{a} \\ 4 - 2 = 2 = - \frac{b}{a} \\ ∴ - \frac{b}{a} = \frac{2}{1} \\ ∴b = - 2, a = 1$

Now,

$\alpha \beta = \frac{c}{a} \\ 4 \times - 2 = \frac{c}{a} \\ - 8 = \frac{c}{a} \\ ∴c = - 8,a = 1$

Thus, the quadratic equation is x²-2x-8 = 0