How do you use polynomial synthetic division to divide $(2x^3+x^2+2x+1)div(x+1/2)$ and write the polynomial in the form $p(x)=d(x)q(x)+r(x)$ ?

Question

How do you use polynomial synthetic division to divide $(2x^3+x^2+2x+1)div(x+1/2)$ and write the polynomial in the form $p(x)=d(x)q(x)+r(x)$ ?

1 Answer

Impact of this question

2103 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-07T19:08:46

The answer is $=(2x^2+2)(x+1/2)$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-1/2$ $color(white)(aaaa)$ $|$ $color(white)(aa)$ $2$ $color(white)(aaaaaaa)$ $1$ $color(white)(aaaaaa)$ $2$ $color(white)(aaaaaaa)$ $1$
$color(white)(aaaaaaaaaaaa)$ $------------$

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaa)$ $-1$ $color(white)(aaaaaa)$ $0$ $color(white)(aaaaa)$ $-1$
$color(white)(aaaaaaaaaaaa)$ $------------$

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaa)$ $2$ $color(white)(aaaaaaa)$ $0$ $color(white)(aaaaaa)$ $2$ $color(white)(aaaaaa)$ $color(red)(0)$

The remainder is $color(red)(0)$ and the quotient is $=2x^2+2$

Therefore,

$(2x^3+x^2+2x+1)=(2x^2+2)(x+1/2)$

Science

Math

Humanities

... and beyond

How do you use polynomial synthetic division to divide $(2x^3+x^2+2x+1)div(x+1/2)$ and write the polynomial in the form $p(x)=d(x)q(x)+r(x)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you use polynomial synthetic division to divide (2x^3+x^2+2x+1)div(x+1/2)(2x^3+x^2+2x+1)div(x+1/2) and write the polynomial in the form p(x)=d(x)q(x)+r(x)p(x)=d(x)q(x)+r(x)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you use polynomial synthetic division to divide $(2x^3+x^2+2x+1)div(x+1/2)$ and write the polynomial in the form $p(x)=d(x)q(x)+r(x)$ ?