Find a quadratic polynomial, the sum of whose zeroes is 0 and one zero

1.	Find a quadratic polynomial, the sum of whose zeroes is 0 and one zero is 5
Answer» Let α=5Given α+β=05+β=0,β=-5So the polynomial f(x)=(x-5)[x-(-5)]=(x-5)(x+5)=x2-25

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