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

Question

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

1 Answer

Impact of this question

1557 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-03T02:16:57

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

Reminder $R = - \frac{30}{x + 3}$ $color(red)(R = -30/(x+3)$

Explanation:

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

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

Reminder $R = - \frac{30}{x + 3}$ $color(red)(R = -30/(x+3)$

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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