How do you divide polynomials with long division?

To divide polynomials using long division, divide the leading term of the dividend by the leading term of the divisor, multiply the divisor by the quotient term, subtract the result from the dividend, bring down the next term of the dividend, and repeat the process until there is a remainder of lower degree than the divisor. Write the quotient as the sum of all the quotient terms and the remainder as the last polynomial obtained.

What is the formula for polynomial division?

Given two polynomials f(x) and g(x), where the degree of g(x) is less than or equal to the degree of f(x), the polynomial division of f(x) by g(x) can be expressed by the formula: f(x)/g(x) = q(x) + r(x)/g(x), where q(x) is the quotient polynomial, and r(x) is the remainder polynomial.

What are the 2 methods to divide polynomials?

The two common methods for dividing polynomials: long division and synthetic division.

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x^2	x^{\msquare}	\log_{\msquare}	\sqrt{\square}	\nthroot[\msquare]{\square}	\le	\ge	\frac{\msquare}{\msquare}	\cdot	\div	x^{\circ}	\pi
\left(\square\right)^{'}	\frac{d}{dx}	\frac{\partial}{\partial x}	\int	\int_{\msquare}^{\msquare}	\lim	\sum	\infty	\theta	(f\:\circ\:g)	f(x)

\mathrm{simplify} \mathrm{solve\:for} \mathrm{expand} \mathrm{factor} \mathrm{rationalize}

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Frequently Asked Questions (FAQ)

How do you divide polynomials with long division?
To divide polynomials using long division, divide the leading term of the dividend by the leading term of the divisor, multiply the divisor by the quotient term, subtract the result from the dividend, bring down the next term of the dividend, and repeat the process until there is a remainder of lower degree than the divisor. Write the quotient as the sum of all the quotient terms and the remainder as the last polynomial obtained.
What is the formula for polynomial division?
Given two polynomials f(x) and g(x), where the degree of g(x) is less than or equal to the degree of f(x), the polynomial division of f(x) by g(x) can be expressed by the formula: f(x)/g(x) = q(x) + r(x)/g(x), where q(x) is the quotient polynomial, and r(x) is the remainder polynomial.
What are the 2 methods to divide polynomials?
The two common methods for dividing polynomials: long division and synthetic division.

- \twostack{▭}{▭}	\lt	7	8	9	\div	AC
+ \twostack{▭}{▭}	\gt	4	5	6	\times	\square\frac{\square}{\square}
\times \twostack{▭}{▭}	\left(	1	2	3	-	x
▭\:\longdivision{▭}	\right)	.	0	=	+	y

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