Polynomials and Identities

JEE Main Mathematics · Quadratic Equations · 3 questions, latest first

• Let f(x)=a x^2+b x+c be such that f(1)=3, f(-2)=λ and f(3)=4. If f(0)+f(1)+f(-2)+f(3)=14, then λ is equal to:202228 July, Shift 2 · Q64
• Let p and q be two real numbers such that p+q=3 and p^4+q^4=369. Then (1/p+1/q)^-2 is equal to \ \ \ \.202226 June, Shift 2 · Q22
• If a+b+c=1, a b+b c+c a=2 and a b c=3, then the value of a^4+b^4+c^4 is equal to \ \ \ \.202125 July, Shift 2 · Q84