Question

write the coefficient of x^2 in each of the following ?
please dont skip any steps to make it clear . ​

Answer 1

Answer:

(i) 3

(i) 3(ii) -16

(i) 3(ii) -16(iii) 0

(i) 3(ii) -16(iii) 0(iv) π/2

Step by step explanation:-

(i) (x-1)(3x-4)

= x(3x-4)-1(3x-4)

= 3x²-4x-3x+4

= 3x²-7x+4

Here, coefficient of x² is 3.

(ii) (2x-5)(2x²-3x+1)

= 2x(2x²-3x+1)-5(2x²-3x+1)

= 4x³-6x²+2x-10x²+15x-5

= 4x³-16x²+17x-5

Here, coefficient of x² is -16.

(iii) 5x-3

As, x² do not exist. Here, coefficient of x² is 0.

(iv) π/2x²+x

Here, coefficient of x² is π/2.