Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.


(i)



(ii)



(iii)



(iv) 1, 1



(v)



(vi)



(i) , -1


Let the polynomial be , and its zeroes be .




If a = 4, then b = -1, c = -4


Therefore, the quadratic polynomial is 4x2x − 4.


(ii)


Let the polynomial be , and its zeroes be




If a = 3, then b = , c = 1


Therefore, the quadratic polynomial is


(iii) 0,


Let the polynomial be , and its zeroes be




If a = 1, then b = 0, c =


Therefore, the quadratic polynomial is .


(iv) 1, 1


Let the polynomial be , and its zeroes be




If a = 1, then b = -1, c = 1


Therefore, the quadratic polynomial is .


(v)


Let the polynomial be , and its zeroes be




If a = 4, then b = 1, c = 1


Therefore, the quadratic polynomial is .


(vi) 4, 1


Let the polynomial be and its zeroes be




If a = 1, then b = -4, c = 1


Therefore, the quadratic polynomial is .


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