Question

1. The coefficient of x in the product (2 – 3x) (5 - 2x) is
(a) 19 (b) - 19
(c) 15
(d) 6
Step by step explanation

Answer 1

Answer:

(b) -19

Step-by-step explanation:

(2 - 3x)(5-2x)

2(5 - 2x) - 3x(5- 2x)

10-4x-15x+6x2

10-19x+6x2

(bold 2 means x raised power 2)

Answer 2

Step-by-step explanation:

We solve the given product

(x−

1)(1−

2x)

as follows:

(x− 1)(1− 2x)= (x× 1)+ [x×(−2x)]+ (−1× 1)+

[(−1)×(−2x)]

= x− 2x

2

− 1+ 2x

= −2x

2

+ 3x− 1

From the above calculations, we observe that the coefficient of

x 2

is −2 and coefficient of

x

is

3

.

Hence, the coefficient of

x

is

3

.