| 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
| -1 |
| x - 3 |
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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.
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
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?
- addition
- math operation involving the sum of elements
- algebra master (polynomials)
- binomial theorem
- algebraic expansion of powers of a binomial
- long division
- a standard division algorithm suitable for dividing multi-digit numerals that is simple enough to perform by hand.
- multiplication
- math operation involving the product of elements
- polynomial
- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
- subtraction
- math operation involving the difference of elements
Example calculations for the Algebra Master (Polynomials) Calculator
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