How do you divide $(9 x^{3} - 19 x^{2} - 28 x + 12) \div (x - 3)$ $(9x^3-19x^2-28x+12)div(x-3)$ using synthetic division?

Question

How do you divide $(9 x^{3} - 19 x^{2} - 28 x + 12) \div (x - 3)$ $(9x^3-19x^2-28x+12)div(x-3)$ using synthetic division?

1 Answer

Impact of this question

2310 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-21T19:11:37

The remainder is $= 0$ $=0$ and the quotient is $= 9 x^{2} + 8 x - 4$ $=9x^2+8x-4$

Explanation:

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $3$ $3$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $9$ $9$ $a a a a a a$ $color(white)(aaaaaa)$ $- 19$ $-19$ $a a a a a a$ $color(white)(aaaaaa)$ $- 28$ $-28$ $a a a a$ $color(white)(aaaa)$ $12$ $12$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ _________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $a a a a a a a a$ $color(white)(aaaaaaaa)$ $27$ $27$ $a a a a a a a$ $color(white)(aaaaaaa)$ $24$ $24$ $a a a$ $color(white)(aaa)$ $- 12$ $-12$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $9$ $9$ $a a a a a a a a$ $color(white)(aaaaaaaa)$ $8$ $8$ $a a a a a a$ $color(white)(aaaaaa)$ $- 4$ $-4$ $a a a a a a$ $color(white)(aaaaaa)$ $0$ $color(red)(0)$

$\frac{9 x^{3} - 19 x^{2} - 28 x + 12}{x - 3} = (9 x^{2} + 8 x - 4)$ $(9x^3-19x^2-28x+12)/(x-3)=(9x^2+8x-4)$

The remainder is $= 0$ $=0$ and the quotient is $= 9 x^{2} + 8 x - 4$ $=9x^2+8x-4$

Science

Math

Humanities

... and beyond

How do you divide $(9 x^{3} - 19 x^{2} - 28 x + 12) \div (x - 3)$ $(9x^3-19x^2-28x+12)div(x-3)$ using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you divide (9x^3-19x^2-28x+12)div(x-3)(9x3−19x2−28x+12)÷(x−3)(9x^3-19x^2-28x+12)div(x-3) using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

How do you divide $(9 x^{3} - 19 x^{2} - 28 x + 12) \div (x - 3)$ $(9x^3-19x^2-28x+12)div(x-3)$ using synthetic division?