Using polynomial long division, evaluate the expression below:| 2x3 - x2 - 4x1 |
| x3 |
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 → 2x3 ÷ x = 2x(3 - 1) = 2x2
1b) We multiply that part of the quotient by the divisor → 2x2(x3) = 2x3 → Click here to see the Math for this Multiplication.
1c) Subtract 2x3 from 2x3 - x2 - 4x to get -x2 - 4x → Click here to see the Math.
| 2x2 | |||||
| x | 2x3 | - | x2 | - | 4x | 2x3 | -x2 | - | 4x |
Step 2
2a) Divide the first term of the dividend by the first term of the divisor → -x2 ÷ x = -1x(2 - 1) = -x
2b) We multiply that part of the quotient by the divisor → -x(x3) = -x2 → Click here to see the Math for this Multiplication.
2c) Subtract -x2 from -x2 - 4x to get -4x → Click here to see the Math.
| 2x2 | - | x | |||
| x | 2x3 | - | x2 | - | 4x | 2x3 | -x2 | - | 4x | -x2 | -4x |
Step 3
3a) Divide the first term of the dividend by the first term of the divisor → -4x ÷ x = -4x(1 - 1) = -4
3b) We multiply that part of the quotient by the divisor → -4(x3) = -4x → Click here to see the Math for this Multiplication.
3c) Subtract -4x from -4x to get → Click here to see the Math.
| 2x2 | - | x | - | 4 | |
| x | 2x3 | - | x2 | - | 4x | 2x3 | -x2 | - | 4x | -x2 | -4x | -4x |
Since we do not have a remainder, we have our answer below:
Answer = 2x2 - x - 4
Answer = 2x2 - x - 4
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What is the Answer?
Answer = 2x2 - x - 4
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.
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What 3 formulas are used for the Algebra Master (Polynomials) Calculator?
Polynomials with matching variables and exponents may be added or subtracted togetherax^2 + bx^2 = (a + b)x^2
ax^2 - bx^2 = (a - b)x^2
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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 elementsExample calculations for the Algebra Master (Polynomials) Calculator
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