Question

find the remainder when 2xx²- 3x+5 is divided by 2 x -3 does it exactly divide the polynomial​

Answer 1

Answer:

Analysis→

Here we're given the polynomial p(x)=2x²-3x+5 and we've to find the result when it is divided by 2x-3 .And we've to check whether it divides the polynomial completely i.e. whether 2x-3 is a factor of the polynomial 2x²-3x+5.

• For division, refer to the above pic.

Conclusion→

So when we divide the polynomial 2x²-3x+5 by 2x-3, we got the quotient as x and the remainder 5. And as we're left with a remainder(5), so we can conclude that 2x-3 doesn't exactly divides 2x²-3x+5 ; hence it is not a factor of the given polynomial.

HOPE IT HELPS.