Coefficient of x^2 in (x + 3)(2 - 4x)(5x - 6) is

Madhya Pradesh Police Exam Model Paper 2

Question : 71 of 100

Marks: +1, -0

Coefficient of

x^2

(x + 3)(2 - 4x)(5x - 6)

Solution:

From the given data,

⇒ (x + 3)(2 - 4x)(5x - 6) = (2x – 4x^2 + 6 - 12x)(5x - 6)

= (- 4x^2 + 6 - 10x)(5x - 6)

= (- 20x^3 + 30x - 50x2 + 24x2 - 36 + 60x)

= (- 20x^3 - 26x2 + 90x - 36)

∴ coefficient of

x^2

is - 26

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