Question

solve it fast with line by line explanation PLZ​

Answer 1

Step-by-step explanation:

We divide 3x3+4x2+x+7 by (x2+1) as shown in the above image:

From the division, we observe that the quotient is 3x+4 and the remainder is −2x+3.

Now we will apply the division algorithm to check the answer as follows:

Dividend3x3+4x2+x+73x3+4x2+x+7=Divisor×Quotient+Remainder=[(x2+1)(3x+4)]−2x+3=(3x3+4x2+3x+4)−2x+3=3x3+4x2+3x−2x+4+3=3x3+4x2+x+7[Which is true]