Ex 2.2, 2
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(iii) 0, √5
Let the polynomial be
p(x) = ax2 + bx + c,
Sum of zeroes = 𝟎
− 𝑏/𝑎 = 0
Assuming a = 1
− 𝑏/1 = 0
b = 0
Product of zeroes = √𝟐
𝑐/𝑎 = √2
Assuming a = 1
𝑐/1 = √2
c = √𝟐
Now
a = 1, b = 0 and c = √5
Hence, the required quadratic polynomial
= ax2 + bx + c
= x2 + 0x + √5
= x2 + √𝟓
Another quadratic polynomial can be 2(x2 + √𝟓)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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