Question 3 A quadratic polynomial, the product and sum of whose zeroes are 5 and 8 respectively is (a) 𝑘[𝑥^2−8𝑥+5] (b) 𝑘[𝑥^2+8𝑥+5] (c) 𝑘[𝑥^2−5𝑥+8] (d) 𝑘[𝑥^2+5𝑥+8]
The quadratic polynomial is
x2 − (Sum of roots)x + Product of roots
We can multiply any constant to this polynomial
So, required quadratic polynomial is
𝒌(𝒙^𝟐−𝟓𝒙+𝟖" " )
So, the correct answer is (c)
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
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