Question

find the remainder when 2x2-3x+5is divided by 2x-3does it exactly divided the polynomial?state reason

Answer 1

Hii There!!!

Let the given polynomial be p(x) : 2x^2-3x+5 and it's divisior be g(x) : 2x-3.


Since, p(x) is divisible by g(x)
So, p(x) = 0

or , 2x - 3 = 0

=) x = 3/2

Now , substitute ( put ) the value of 'x' in p (x)
we get ,


2x^2-3x+5

=> 2( 3/2) ^2 - 3


=> 2 × ( 9/4 ) - 3

=> 9/2 - 3

=> 3/2 ≠ 0


Since, the value is not equal to zero.

Hence, 2x - 3 does not divides the given polynomial p (x) .


____________________

Hope it helps