Question

How do you divide `(4x^2+3x-1)div(x-3)` using synthetic division?

Answer 1

`(4x+15) + (44 / (x-3))`

Explanation:

`color(white)(aa) 3 color(white) (aa) | color (white) (aaa) 4color(white) (aaa) 3 color(white) (aaa) -1`
`color(white) ( aaaaa) | color(white) (aaa aaaa) 12 color (white) (aaaa) 45`
`aaaaa |…………………`
`color(white) ( aaaaa aaaaa) 4 color(white) (aaa) 15 color (white) (aaaa) 44`
Quotient`(4x+15)`, Remainder `44`