Question

(IV) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 1 /4and 1



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Answer 1

$4{x}^{2} - x + 4 = 0$

is the answer.

Step-by-step Explaination:

Sum(S)=1/4

Product (P)=1

The required quadratic polynomial is

$x²-Sx+P=0 \\ {x}^{2} - \frac{1}{4}x + 1 = 0 \\ 4{x}^{2} - x + 4 = 0$

I hope it helps.

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Answer 2

1/4, 1

Using the quadratic equation formula,

x² −(Sum of root)x+(Product of root)=0

Substitute the value in the formula, we get

x² - 1/4x + 1 =0

4x² - x + 4 = 0