Question

find the polynomial which when divided by (×+3) gives quotient (×-2) and reminded -7​

Answer 1

Answer:

Step-by-step explanation:

Dividend=?

Divisor=-x²+x-1

Quotient=x-2

Remainder=3

We know that,

Dividend=Divisor×Quotient+Remainder

Dividend=(-x²+x-1)(x-2)+3

Dividend=-x³+x²-x+2x²-2x+2+3

Dividend=-x³+3x²-3x+5

Hence required polynomial is

-x³+3x²-3x+5.