The quadratic polynomial whose zeroes are 5 and -5 is: (A) x^2 - 36 (B) x^2 - 25c (C) x^2 + 12x + 36 (D) x^2 - 10x + 25
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The quadratic polynomial whose zeroes are 5 and -5 is: (A) x^2 - 36 (B) x^2 - 25c (C) x^2 + 12x + 36 (D) x^2 - 10x + 25
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Answer:
Option (B) : x² - 25
Step-by-step explanation:
Given,
Sum of the zeroes, S = 5 + (-5) = 0
Product of the zeroes, P = 5 × ( -5) = -25
Required polynomial
= k { x² - S x + P }
= x² - 0 x + (-25)
= x² -25
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