Question 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

maths

Answer

(i) Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore

                               Sum of zeroes (α + β) = 1/4 =  -b/a

                            Product of zeroes (αβ) = -1 = c/a

                            On comparing,

                             a = 4, b = -1 and c = - 4

                         Hence, the required polynomial is 4x2 –x – 4

(ii)

 solution

(iii) 

Let α, β are the zeroes of the polynomial ax2+ bx +c, therefore

                                Sum of zeroes (α + β) = 0 = -b/a

                         Product of zeroes (αβ) = √5 = √5/1 = c/a

                      On comparing,

                        a = 1, b = 0 and c = √5

                       Hence, the required polynomial is x2 + √5

solution

Recently Viewed Questions of Class 10 Mathematics

Write a Comment: