Question

What number must be subtracted from 2x²-5x so that the resulting polynomial leaves remainder 2 when divided by 2x+1 ?​

Answer 1

Answer:

Let say m must be subtracted from 2x² - 5x

Resulting Polynomial P(x) = 2x² - 5x - m

Remainder = 2 when divided by 2X +1

> X = -1/2

P(-1/2) = 2

> 2(-1/2)² - 5(-1/2) - m  = 2

> 1/2 + 5/2 - m = 2

> 3 - m = 2

> 1 = m

So, 1 has to be subtracted from 2x² - 5x

Therefore, 1 would be the answer.

Thanks.

Answer 2

Answer:

>3-m=2

>1=m

Step-by-step explanation:

>3-m=2

>1=m