Question

use the factor theorem prove that (x-2) is a factor of 2 ( 3-x) + 3(x-2)-2​

Answer 1

Step-by-step explanation:

put x=2 in 2(3-x)+3(x-2)-2

=>2(3-2)+3(2-2)-2

=>2+0-2

0

Answer 2

x-2=0

therefor,x=2

now putting x=2in the polynomial

we get,2(3-2)+3(2-2)-2

=2×1+3×0-2

=2-2

=0

therefor( x-2) is a factor of the polynomial

(proved)