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

1 Answer
Oct 12, 2017

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#