Question

How do you use synthetic division to divide `(10x^4-50x^3-800)/(x-6)`?

Answer 1

Quotient `10x^3+10x^2+60x+360`, Remainder `1360`

Explanation:

`6color(white)(aaa ) | color(white)(aaa ) 10 color(white) (aaa ) -50 color(white ) (aaa ) 0 color(white )(aaa ) 0 color(white) (aaa ) -800`
`color(white)(aaaa ) | color (white)(aaaaaaaaaa ) 60 color(white)( aaa ) 60 color(white )(a ) 360color(white)(aaaa ) 2160`
`color(white )(aaaa ) |……………………………………`
`color(white)(aaaaaaaaa )10color(white)(aaaaa )10 color(white)(aaa ) 60 color(white)(a ) 360 color(white)(aaaa) 1360`

Quotient `10x^3+10x^2+60x+360`, Remainder `1360`