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8.Write the family of quadratic polynomials havingand 1 as its zeros |
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Answer» I don't know the answer of this question let α and β be the zeroesα=-1/4β=1the required quadratic polynomial isx²-(α+β)x+αβ=0x²-(-1/4+1)x+(-1/4x1)=0x²-[(-1+4)/4]x-1/4=0x²-3/4x-1/4=04x²-3x-1=0(multiply both sides by 4)so 4x²-3x-1 is the correct answer sum of zeroes= 1+(-1/4)= 4-1/4= 3/4product of zeroes= 1×(-1/4) = -1/4polynomial= x^2-x(sum of zero)+product of zerox^2-x(3/4)+(-1/4)1/4(4x^2-3x-1) |
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