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Factorise.
Full solution
Q. Factorise.
- Write Quadratic Equation: Write down the quadratic equation to be factorized.
- Find Two Numbers: Look for two numbers that multiply to give the product of the coefficient of (which is ) and the constant term (which is ), and add up to give the coefficient of (which is ).The numbers we are looking for are and because and .
- Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step .
- Factor by Grouping: Factor by grouping. Group the first two terms together and the last two terms together.
- Factor Out Common Factor: Factor out the common factor from each group.
- Final Factorization: Since both groups contain the common factor , factor this out.
