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]

This question is similar from Question 2 - CBSE Class 10 - Sample Paper for 2021 Boards - Maths Basic

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Transcript

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 Putting values 𝑥^2−5𝑥+8 We can multiply any constant to this polynomial So, required quadratic polynomial is 𝒌(𝒙^𝟐−𝟓𝒙+𝟖" " ) So, the correct answer is (c)

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