Answer:
2a + 3
Step-by-step explanation:
We are given the following two terms and we are to divide them:
[tex] \frac { 2 a ^ 2 + a + 3 } { a - 1 } [/tex]
We will start by divide the highest order term in the dividend [tex]2a^2[/tex] by the highest order term in divisor [tex]a[/tex]:
[tex]\frac{2a^2 + a + 3}{a-1}=2a[/tex]
Then we multiply the new quotient term by the divisor where [tex]-2a^2+2a[/tex] is subtracted by [tex]2a^2+a[/tex].
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend to get:
[tex]2a+3[/tex] as the quotient and [tex]6[/tex] as the remainder.
