Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you use polynomial division to divide $x^{3} + x^{2} - 10 x - 6$ $x^3 + x^2 - 10x - 6$ by x-3?

1 Answer

Konstantinos Michailidis

Feb 27, 2016

First we notice that $x^{3} + x^{2} - 10 x - 6 = (x - 3) (x^{2} + 4 x + 2)$ $x^3 + x^2 - 10x - 6=(x-3)(x^2+4x+2)$

hence

$\frac{x^{3} + x^{2} - 10 - 6}{x - 3} = x^{2} + 4 x + 2$ $(x^3+x^2-10-6)/(x-3)=x^2+4x+2$

Related questions

What is synthetic division?
What are common mistakes students make with synthetic division?
How do I find the quotient and remainder using synthetic division?
How do you write the remainder in synthetic division?
How do I find the quotient $\frac{x^{3} + 5 x^{2} + x - 15}{x + 3}$ $(x^3+5x^2+x-15)/(x+3)$ by using synthetic division?
How do I find the roots of a polynomial function by using synthetic division?
How can synthetic division be used to factor a polynomial?
How do I use synthetic division to find $p (- 3)$ $p(-3)$ for $p (x) = x^{4} - 2 x^{3} - 4 x + 4$ $p(x)=x^4-2x^3-4x+4$ ?
Use synthetic division to find $p (4)$ $p(4)$ for $p (x) = x^{4} - 2 x^{3} - 4 x + 4$ $p(x)=x^4-2x^3-4x+4$ ?
How do you use synthetic division to evaluate $f (3)$ $f(3)$ given that $f (x) = x^{3} + 2 x^{2} - 7 x + 8$ $f(x)=x^3+2x^2-7x+8$ ?

See all questions in Synthetic Division

Impact of this question

1488 views around the world

You can reuse this answer
Creative Commons License