Polynomial Long Division x^2-6x+8 and x-3

Publish date: 2024-07-03

Polynomial Long Division x^2-6x+8 and x-3 Image to Crop

Using polynomial long division, evaluate the expression below:

x2 - 6x + 8

x - 3

First, we write our expression in long division format and follow the steps below.
Step 1
1a)  Divide the first term of the dividend by the first term of the divisor → x2 ÷ x = 1x(2 - 1) = x
1b)  We multiply that part of the quotient by the divisor → x(x - 3) = x2 - 3x  →  Click here to see the Math for this Multiplication.
1c)  Subtract x2 - 3x from x2 - 6x + 8 to get -3x + 8  →  Click here to see the Math.

			x
x	-	3	x2	-	6x	+	8
			x2	-	3x			-3x	+	8

Step 2
2a)  Divide the first term of the dividend by the first term of the divisor → -3x ÷ x = -3x(1 - 1) = -3
2b)  We multiply that part of the quotient by the divisor → -3(x - 3) = -3x + 9  →  Click here to see the Math for this Multiplication.
2c)  Subtract -3x + 9 from -3x + 8 to get -1  →  Click here to see the Math.

			x	-	3
x	-	3	x2	-	6x	+	8
			x2	-	3x			-3x	+	8	-3x	+	9	-1

We have a remainder leftover. We take our answer piece and remainder piece below
Answer = x - 3
Remainder piece = Leftover answer divided by our denominator

How does the Algebra Master (Polynomials) Calculator work?

Free Algebra Master (Polynomials) Calculator - Given 2 polynomials this does the following:
1) Polynomial Addition
2) Polynomial Subtraction

Also generates binomial theorem expansions and polynomial expansions with or without an outside constant multiplier.
This calculator has 2 inputs.

What 3 formulas are used for the Algebra Master (Polynomials) Calculator?

Polynomials with matching variables and exponents may be added or subtracted together
ax^2 + bx^2 = (a + b)x^2
ax^2 - bx^2 = (a - b)x^2

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Algebra Master (Polynomials) Calculator?

additionmath operation involving the sum of elementsalgebra master (polynomials)binomial theoremalgebraic expansion of powers of a binomiallong divisiona standard division algorithm suitable for dividing multi-digit numerals that is simple enough to perform by hand.multiplicationmath operation involving the product of elementspolynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).subtractionmath operation involving the difference of elements

Example calculations for the Algebra Master (Polynomials) Calculator

Algebra Master (Polynomials) Calculator Video

Tags:

Add This Calculator To Your Website

ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVflrmoucCsq56qXqW1sYvTnqmmaW1af3HEhG58a2VmrXJzjpdfq56qnWeKZn6PsWRsXqChipG7y7KlqKWZlrlmfo%2BFpqefVWd9hbXVoqqip54%3D