Q) In a pool at an aquarium, a dolphin jumps out of the water travelling at 20 cm per second. Its height above water level after t seconds is given by: h = 20t – 16t2. Based on the above, answer the following questions:(i) Find zeroes of polynomial p(t) = 20t – 16t².(ii) Which of […]
polynomials
Q) Find the value of ‘p’ for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other. Ans: Let one the roots be then by the given condition, other root is 6 We know that sum of roots (α + β) =   Sum of roots
Q)Â Find the discriminant of the quadratic equation 4×2Â – 5 = 0 and hence comment on the nature of the equation. Ans: Given equation is 4 x2 – 5 = 0 or we can say that, Find the discriminant of 4 x2 + 0 x – 5 = 0 Let’s compare it with standard quadratic
Q)Â Find the value of ‘p’ for which the quadratic equation px (x – 2) + 6 = 0 has two equal roots. Ans:Â Given quadratic equation is: px (x – 2) + 6 = 0 or we can rewrite it as, px2 – 2p x + 6 = 0 In this equation, we can
Q) Find the sum and product of the roots of the quadratic equation 2×2 – 9x + 4 = 0. Ans: We know that sum of roots (α + β) =   Sum of roots = = Next, we know that the product of the roots (α x β) =   Product of the roots
Find the sum and product of the roots of the quadratic equation 2x^2 – 9 x + 4 = 0. Read More »
Q) If one zero of the polynomial p(x) = 6×2 + 37 x – (k-2) is reciprocal of the other, then find the value of k. Ans: Let’s consider the one zero of the given polynomial be , then other zero will be . We know that Product of the zeroes (α x β) =