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If a,b are the zero of the polynomial (x)=x2p(x-1)-c,then(a+1) (b+1) |
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Answer» Answer: ns >> Extras >> STUDENT Questions Next similar questionQ) If alpha and beeta are zeroes of polynomial x2-p(x+1)+C such that (alpha+1) If alpha and beeta are zeroes of polynomial x2-p(x+1)+c such that (alpha+1)(beeta+1)=0. Then find the value of c. Homework help Donate A) Given that alpha and beta are the roots of the QUADRATIC EQUATION f(x) = x^2-p(x+1)-c = x^2-px-p-c = x^2 -px-(p+c), comparing with ax^2 + bx + c, we have, a =1 , b= -p & c= -(p+c) alpha+beta = -b/a = -(-p)/1 = p & alpha*beta = c/a = -(p+c)/1 = -(p+c) Therefore, (Alpha + 1)*(beta+1) = Alpha*beta + alpha + beta + 1 = -(p+c) + p + 1 = -p-c+p+1 = 1-c or c=1 |
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