Question

Find the polynomial which when divided by -2x2+3x -2gives a quotient( x-3) and the remainder 4.

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = - 2x ^2 + 3x - 2

Given, quotient = q ( x ) = x - 3 and remainder = r ( x ) = 4.

We know that

p ( x ) = g ( x ) × q ( x ) + r ( x )

- 2x ^2 + 3x - 2 = g ( x ) × ( x - 3 ) + 4

- 2x ^2 + 3x - 2 - 4 = g ( x ) × ( x - 3 )

- 2x ^2 + 3x - 6 = g ( x ) × ( x - 3 )

( - 2x ^2 + 3x - 6 ) / ( x - 3 ) = g ( x )

g ( x ) = - 2x - 3