Find the quadratic polynomial sum and product of whose zeroes are 6 and 9 respectively.find zeroes
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We know that,
General form of a quadratic polynomial is
x^2- sum of zeroes *x + product of zeroes .
So, the quadratic polynomial will be
x^2 - 6x +9. Now, By factorising we can get the zeroes x^2 -3x-3x+9 = 0 x(x-3)-3(x-3) = 0 (x-3)(x-3)= 0 i.e. x = 3,3.
General form of a quadratic polynomial is
x^2- sum of zeroes *x + product of zeroes .
So, the quadratic polynomial will be
x^2 - 6x +9. Now, By factorising we can get the zeroes x^2 -3x-3x+9 = 0 x(x-3)-3(x-3) = 0 (x-3)(x-3)= 0 i.e. x = 3,3.
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