Please explain Illustration: The quadratic polynomial p(x) has the following properties : p(x) can be positive or zero for all real numbers p(1) = 0 and p(2) = 2 Then find the quadratic polynomial. Sol: p(x) is positive or zero for all real numbers. Also p(1) = 0 Then we have p(x) = k(x-1)2, where k > 0 Now p(2) = 2 ⇒ k=2 ∴ p(x) = 2(x-1)2 Share with your friends Share 2 Lovina Kansal answered this Dear student Since it is given that p(x) is positive or zero for all real numbers.Also given that p(1)=0⇒1 will satisfy the required polynomial.⇒(x-1) is a factor of required polynomial.Also no other zero of the required polynomial is given so, we assume that the roots of the required polynomail are perfect square.So, p(x)=k(x-1)2 where k is any non-zero positive constantAlso, given that p(2)=2⇒k=2∴p(x)=2x-12 Regards 4 View Full Answer Yadav Ji answered this there is nothing to be explained in this question its too simple -16
