Question

A quadratic polynomial whose sum and product of zeroes are 21/8 and 5/16 respectively is

2 points

(a) 8x^2 - 21x + 5

(b ) 16x^2 - 42x+5

(c) 16x^2 + 42x +5

(d) 16x^2 - 42x -5

​

Answer 1

16x² - 42x + 5 = 0

Step-by-step explanation:

Sum of roots, α + β = 21/8.

Product of roots, αβ = 5/16.

The quadratic equation will be of form x² - (α + β)x + αβ = 0

=> x² - (21/8)x + 5/16 = 0

=> 16x² - 42x + 5 = 0 (taking 16 LCM)

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