7C.2 - Synthetic division
Synthetic division is another method that can be used to help factorise polynomials. The process of synthetic division is best illustrated using some examples which are provided below.
7C.2 - Example 1: Using synthetic division to divide polynomials by linear terms
Using synthetic division, divide \(x^2+7x+12\) by \(x+3\).
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7C.2 - Example 1: Video solution
7C.2 - Example 1: Practice
Question 1: ABC Question 2: ABC 7C.2 - Example 1: Solutions
Question 1: ABC Question 2: ABC |
7C.2 - Example 2: Using synthetic division to divide polynomials by linear terms
Using synthetic division, divide \(2x^3+12x^2+12x-8\) by \(x+2\).
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7C.2 - Example 2: Video solution
7C.2 - Example 2: Practice
Question 1: ABC Question 2: ABC 7C.2 - Example 2: Solutions
Question 1: ABC Question 2: ABC |
■ Warning! When dividing by \(ax+b\), where \(a\neq 1\), you must divide the quotient coefficients by the value of \(a\).
7C.2 - Example 3: Using synthetic division to divide polynomials by linear terms
Using synthetic division, divide \(4x^3+10x^2-6x-1\) by \(2x+1\).
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7C.2 - Example 3: Video solution
7C.2 - Example 3: Practice
Question 1: ABC Question 2: ABC 7C.2 - Example 3: Solutions
Question 1: ABC Question 2: ABC |