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Write the quadratic polynomial having -1/4,1 …

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Write the quadratic polynomial having -1/4,1 as it's zeroes 

  • 1 answers

Naveen Sharma 6 years, 10 months ago

Ans. Let equation is ax2 + bx + c = 0, roots are {tex}-{1\over 4},1{/tex}.

We know that,

Sum of roots = {tex}-{b\over a}{/tex}

=> {tex}-{1\over 4} + 1 = -{b\over a}{/tex}

{tex}=> {3\over 4} = -{b\over a}{/tex}

=> b = -3 and a = 4

Also

Product of roots = {tex}c\over a{/tex}

=> {tex}-{1\over 4}\times 1 = {c\over a}{/tex}

{tex}=> -{1\over 4}= {c\over a}{/tex}

c = -1 and a = 4

Put Values of a,b,c in equation we get,

4x2 - 3x -1 = 0    Requried equation

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