Question

If a and B are the zeros of quadratic polynomial p(x)=x2-k(x+1)-a and if (a+1)(b+1)=0. Find a

Answer 1

given A and B are zeroes of polynomial,

Taking there sum,

=>A+B= -b/a (where b is coefficient of x and a is.
is coefficient of x^2)
=>A+B=k

now product of zeroes

=>AB=c/a. (where c is constant term and a is coefficient
x^2)
=>AB=-k+a/1

now solving equation (A+1)(B+1)

=>AB+A+B+1=0
=>-K+a+k+1=0
=>a=-1

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