7C.1 - Long division
Long division is one method that can be used to help factorise polynomials. The process of long division is best illustrated using some examples which are provided below.
Dividing by a linear term:
7C.1 - Example 1: Using long division to divide polynomials by linear terms
Using long division, divide \(x^2+7x+12\) by \(x+3\).
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7C.1 - Example 1: Video solution
7C.1 - Example 1: Practice
Question 1: ABC Question 2: ABC 7C.1 - Example 1: Solutions
Question 1: ABC Question 2: ABC |
7C.1 - Example 2: Using long division to divide polynomials by linear terms
Using long division, divide \(2x^3+12x^2+12x-8\) by \(x+2\).
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7C.1 - Example 2: Video solution
7C.1 - Example 2: Practice
Question 1: ABC Question 2: ABC 7C.1 - Example 2: Solutions
Question 1: ABC Question 2: ABC |
7C.1 - Example 3: Using long division to divide polynomials by linear terms
Using long division, divide \(2x^3-7x^2-7x+15\) by \(2x+3\).
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7C.1 - Example 3: Video solution
7C.1 - Example 3: Practice
Question 1: ABC Question 2: ABC 7C.1 - Example 3: Solutions
Question 1: ABC Question 2: ABC |
Dividing by non-linear terms:
Long division can also be used to divide polynomials by non-linear terms.
Long division can also be used to divide polynomials by non-linear terms.
7C.1 - Example 4: Using long division to divide polynomials by non-linear terms
Using long division, divide \(3x^4+5x^3-7x^2-5x+2\) by \(x^2-1\).
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7C.1 - Example 4: Video solution
7C.1 - Example 4: Practice
Question 1: ABC Question 2: ABC 7C.1 - Example 4: Solutions
Question 1: ABC Question 2: ABC |