Question

(2a^2 + a + 3) ÷ (a - 1)

Answer 1

2a + 3

Explanation:

We are given the following two terms and we are to divide them:

`\frac { 2 a ^ 2 + a + 3 } { a - 1 }`

We will start by divide the highest order term in the dividend
`2a^2` by the highest order term in divisor
`a`:

`(2a^2 + a + 3)/(a-1)=2a`

Then we multiply the new quotient term by the divisor where
`-2a^2+2a` is subtracted by
`2a^2+a`.

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend to get:

`2a+3` as the quotient and
`6` as the remainder.

Answer 2

2a + 3 Remainder 6

Explanation:

Find the attachment bellow for a step by step explanation.