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NameClassDate34Dividing Polynomials Going DeeperEssential question: What is the relationship between polynomial division and the Remainder Theorem? You can use long division to divide a polynomial
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How to fill out polynomials - long division
How to fill out polynomials - long division
01
To fill out polynomials using long division, follow these steps:
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Step 1: Write the dividend (the polynomial to be divided) inside the long division symbol, and the divisor (the polynomial dividing the dividend) outside the symbol.
03
Step 2: Check the leading terms of the dividend and the divisor. The leading term is the term with the highest degree (highest power of x).
04
Step 3: Divide the leading term of the dividend by the leading term of the divisor. Write the result above the long division symbol.
05
Step 4: Multiply the entire divisor by the result from step 3, and write the product below the dividend.
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Step 5: Subtract the product from the dividend, and write the result below the line.
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Step 6: Bring down the next term of the dividend, if any.
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Step 7: Repeat steps 3 to 6 until there are no terms left in the dividend.
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Step 8: The final result is the quotient, and any remaining terms are the remainder.
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Step 9: Check the result by multiplying the quotient with the divisor and adding the remainder. It should equal the original dividend.
Who needs polynomials - long division?
01
Polynomials - long division is needed in various mathematical fields and applications, including:
02
- Algebra: Long division helps in dividing polynomials and finding the quotient and remainder.
03
- Graphing: By dividing a polynomial by a linear binomial, we can find the x-intercepts of the graph, which are the points where the graph intersects the x-axis.
04
- Factorization: Long division can be used to factorize polynomials by dividing them by their linear factors.
05
- Calculus: In calculus, polynomial long division is used to simplify expressions and solve limit problems.
06
- Engineering: Polynomials - long division is used in engineering for modeling and solving problems involving polynomials, such as electrical circuit analysis or control systems design.
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What is polynomials - long division?
Polynomials long division is a method used to divide polynomials by other polynomials in order to simplify expressions.
Who is required to file polynomials - long division?
Students learning algebra or calculus may be required to perform polynomials long division as part of their coursework.
How to fill out polynomials - long division?
To fill out polynomials long division, you need to follow specific steps to divide the polynomials and simplify the expressions.
What is the purpose of polynomials - long division?
The purpose of polynomials long division is to help simplify complex algebraic expressions and make them easier to work with.
What information must be reported on polynomials - long division?
The coefficients and variables of the polynomials being divided must be reported, as well as the steps taken to perform the long division.
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