Question

Find a quadratic polynomial each with the given number as the sum and product of its zeros

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

$\frac{1}{4} - 1$

$\alpha + \beta = \frac{1}{4}$

$\alpha \beta = - 1 \: \: {k \: is \: constant}$

$p(x) = k( {x}^{2} - ( \alpha + \beta )x + \alpha \beta$

$k( {x}^{2} = \frac{1}{4} x + ( - 1)$

$k( {x}^{2} - \frac{1}{4} x - 1)$

$\frac{1}{4} (4 {x}^{2} = x - 4)$

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