Worked Solution & Example Answer:Factorise completely
$$x^3 - 4x^2 + 3x.$$
- Edexcel - A-Level Maths Pure - Question 3 - 2006 - Paper 1
Step 1
Step 1: Factor out the common term
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Answer
Identify the common factor in the expression. In this case, each term in the polynomial has an 'x' as a common factor. Therefore, we factor 'x' out of the expression:
x(x2−4x+3)
Step 2
Step 2: Factor the quadratic expression
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Answer
Next, we need to factor the quadratic expression x2−4x+3. This can be factored by finding two numbers that multiply to +3 and add up to -4. These numbers are -1 and -3. Thus, we can write:
