How do you divide $(10 x^{4} + 5 x^{3} + 4 x^{2} - 9) \div (x + 1)$ $(10x^4+5x^3+4x^2-9)div(x+1)$ using synthetic division?

Question

How do you divide $(10 x^{4} + 5 x^{3} + 4 x^{2} - 9) \div (x + 1)$ $(10x^4+5x^3+4x^2-9)div(x+1)$ using synthetic division?

1 Answer

Impact of this question

2865 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-24T07:59:10

The quotient is $= 10 x^{3} - 5 x^{2} + 9 x - 9$ $=10x^3-5x^2+9x-9$ and the remainder $= 0$ $=0$

Explanation:

We perform a synthetic division

$a a a a$ $color(white)(aaaa)$ $- 1$ $-1$ $a a a a$ $color(white)(aaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $10$ $10$ $a a a a$ $color(white)(aaaa)$ $5$ $5$ $a a a a a$ $color(white)(aaaaa)$ $4$ $4$ $a a a a a a$ $color(white)(aaaaaa)$ $0$ $0$ $a a a a$ $color(white)(aaaa)$ $- 9$ $-9$

$a a a a a a$ $color(white)(aaaaaa)$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a$ $color(white)(aaa)$ $a a a a$ $color(white)(aaaa)$ $- 10$ $-10$ $a a a a a$ $color(white)(aaaaa)$ $5$ $5$ $a a a a a$ $color(white)(aaaaa)$ $- 9$ $-9$ $a a a a a$ $color(white)(aaaaa)$ $9$ $9$

$a a a a a a a a a a$ $color(white)(aaaaaaaaaa)$ ------------------------------------------------------------

$a a a a$ $color(white)(aaaa)$ $a a a a a a$ $color(white)(aaaaaa)$ $a a a a a a$ $color(white)(aaaaaa)$ $10$ $10$ $a a a$ $color(white)(aaa)$ $- 5$ $-5$ $a a a a a$ $color(white)(aaaaa)$ $9$ $9$ $a a a a a$ $color(white)(aaaaa)$ $- 9$ $-9$ $a a a a a$ $color(white)(aaaaa)$ $0$ $color(red)(0)$

The remainder is $= 0$ $=0$

The quotient is $= 10 x^{3} - 5 x^{2} + 9 x - 9$ $=10x^3-5x^2+9x-9$

Science

Math

Humanities

... and beyond

How do you divide $(10 x^{4} + 5 x^{3} + 4 x^{2} - 9) \div (x + 1)$ $(10x^4+5x^3+4x^2-9)div(x+1)$ using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you divide (10x4+5x3+4x2−9)÷(x+1)(10x^4+5x^3+4x^2-9)div(x+1) using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

How do you divide $(10 x^{4} + 5 x^{3} + 4 x^{2} - 9) \div (x + 1)$ $(10x^4+5x^3+4x^2-9)div(x+1)$ using synthetic division?