Math, asked by mittalfzd144, 6 months ago

find the quadratic polynomial whose sum and product of its zero are 1/4 and -1

Answers

Answered by sriharshithab06
0

Answer:

x^2 - x/4 -1=0

Step-by-step explanation:

x^2 - x ( a+b ) + a×b = 0

x^2- x(1/4) + (-1) = 0

x^2 - x/4 -1 = 0

Answered by TheEternity
3

Answer:

Given,  \: Sum \: of \: zeroes \:  = 1/4</p><p> \\ and  \: product \:  of  \: zeros = \: -1 \\ </p><p>Then,  \: the \: quadratic  \: polynomial \\  = k \: [ {x}^{2} - (sum \: of \: zeroes)x + product \: of \: zeroes ] \\ k( {x}^{2}  - ( \frac{1}{4} )x - 1 \\  = k( {x}^{2}  -  \frac{x}{4}  - 1) \\  = k( \frac{4 {x}^{2} - x - 4 }{4 } ) \\ If \: k = 4, \: then \:  the \:  required \: quadratic \: polynomial \: is  \\⇒ \:  4 {x}^{2}  - x - 4</p><p>

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