Question

The coefficient of y8 in the polynomial (x - 1)(x-2)(x
- 3) ..... (x - 10) is
2640
1320
1370
2740​

Answer 1

Step-by-step explanation:

ANSWER

(x−1)(x−2)⇒x2−3x+2⇒x2−(2+1)x+(2+1)

(x−1)(x−2)(x−3)⇒x3−(1+2+3)x2+(1×2+1×3+2×3)x+(1×2×3)

(x−a1)(x−a2)....(x−an)=xn−(a1+a2+...an)xn−1+(a1a2....an)

(x−1)(x−2)(x−3)....(x−10)

x8⇒[2+3+4+...+10]+2[3+4+....+10]+...9×10

=1×54+2×52+3×