How do you use synthetic division on -2x^4+14x^2+62x4+14x2+6 and find p(-3)?

1 Answer
Feb 3, 2018

Quotient color(green)(Q = -2x^3 + 6x^2 - 4x + 12)Q=2x3+6x24x+12,

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

Explanation:

color(white)(aa)-3color(white)(aa)|color(white)(a)-2color(white)(aaaaa)0color(white)(aaa)14color(white)(aaaa)0color(white)(aaaa)6aa3aaa2aaaaa0aaa14aaaa0aaaa6
color(white)(aaaaaaa)|color(white)(aaa)darrcolor(white)(aaaa)6color(white)(a)-18color(white)(aaa)12color(white)(a)-36aaaaaaaaaaaaaa6a18aaa12a36
color(white)(aaaaaaaa)-----------aaaaaaaa
color(white)(aaaaaaaaaaa)-2color(white)(aaaa)6color(white)(aa)-4color(white)(aaa)12color(white)(a)-30aaaaaaaaaaa2aaaa6aa4aaa12a30

Quotient color(green)(Q = -2x^3 + 6x^2 - 4x + 12)Q=2x3+6x24x+12,

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