Question

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

Answer 1

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)`