Question

find the coefficient of x in the product (X - 1 )(1 - 2x)

Answer 1

Heya !!!

This is Your answer.

Given :-

(x -1) (1 -2x) 
= x (1 - 2x) - 1 (1 - 2x)
= x - 2x² - 1 + 2x
= -2x² + 3x -1.

Hence, the coefficient of x is 3.

Hope It helps

Answer 2

Given:

(X - 1 )(1 - 2x)

To find:

The coefficient of x

Solution:

The coefficient of x is 3.

We can find the coefficient by following the given method-

We know that the product can be obtained by multiplying the terms in the given brackets.

The product=(X - 1 )(1 - 2x)

=x(1-2x)-1(1-2x)

=x-2$x^{2}$-1+2x

= -$2x^{2}$+3x-1

Now, the coefficient of x is the constant term that is multiplied by x.

So, the coefficient of x is 3.

Therefore, the coefficient of x is 3.