How do you use synthetic division on #-2x^4+14x^2+6# and find p(-3)?

1 Answer
Feb 3, 2018

Answer:

Quotient #color(green)(Q = -2x^3 + 6x^2 - 4x + 12)#,

Reminder #color(red)(R = -30/(x+3)#

Explanation:

#color(white)(aa)-3color(white)(aa)|color(white)(a)-2color(white)(aaaaa)0color(white)(aaa)14color(white)(aaaa)0color(white)(aaaa)6#
#color(white)(aaaaaaa)|color(white)(aaa)darrcolor(white)(aaaa)6color(white)(a)-18color(white)(aaa)12color(white)(a)-36#
#color(white)(aaaaaaaa)-----------#
#color(white)(aaaaaaaaaaa)-2color(white)(aaaa)6color(white)(aa)-4color(white)(aaa)12color(white)(a)-30#

Quotient #color(green)(Q = -2x^3 + 6x^2 - 4x + 12)#,

Reminder #color(red)(R = -30/(x+3)#