Coefficient of x2 in (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) is ……

1.	Coefficient of x2 in (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) is ……………….. A) 215 B) 205 C) 200D) 225
Answer» Correct option is (D) 225 (x+1) (x+2) (x+3) (x+4) (x+5) \(=(x^2+3x+2)(x^2+7x+12)(x+5)\) \(\therefore\) Coefficient of \(x^2\) in \((x+1)(x+2)(x+3)(x+4)(x+5)\) \(=12.5+2.5+21.5+14.1+36.1\) \(=60+10+105+14+36\) \(=120+105=225\) Correct option is D) 225

Coefficient of x2 in (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) is ……………….. A) 215 B) 205 C) 200D) 225

Answer»

Correct option is (D) 225

(x+1) (x+2) (x+3) (x+4) (x+5)

\(=(x^2+3x+2)(x^2+7x+12)(x+5)\)

\(\therefore\) Coefficient of \(x^2\) in \((x+1)(x+2)(x+3)(x+4)(x+5)\)

\(=12.5+2.5+21.5+14.1+36.1\)

\(=60+10+105+14+36\)

\(=120+105=225\)

Correct option is D) 225