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Factorise:- x³-3x²-9x-5?
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Factorise:- x³-3x²-9x-5?
Factorising x³-3x²-9x-5
To factorise an expression, we need to find the common factors that the terms share.
Step 1: Identify the Greatest Common Factor (GCF)
In this expression, we can factor out an x to get:
x(x²-3x-9)-5
Step 2: Factor the quadratic expression
Now we need to factor the quadratic expression (x²-3x-9). We can use the quadratic formula or complete the square to find the roots, but in this case, we can see that the expression can be factored into:
(x-3)(x+1)
Step 3: Write the final factorisation
Now we can substitute the quadratic factor back into the expression to get the final factorisation:
x(x-3)(x+1)-5
Therefore, the factorisation of x³-3x²-9x-5 is:
x(x-3)(x+1)-5
To factorise an expression, we need to find the common factors that the terms share.
Step 1: Identify the Greatest Common Factor (GCF)
In this expression, we can factor out an x to get:
x(x²-3x-9)-5
Step 2: Factor the quadratic expression
Now we need to factor the quadratic expression (x²-3x-9). We can use the quadratic formula or complete the square to find the roots, but in this case, we can see that the expression can be factored into:
(x-3)(x+1)
Step 3: Write the final factorisation
Now we can substitute the quadratic factor back into the expression to get the final factorisation:
x(x-3)(x+1)-5
Therefore, the factorisation of x³-3x²-9x-5 is:
x(x-3)(x+1)-5
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Factorise:- x³-3x²-9x-5?
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Factorise:- x³-3x²-9x-5? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorise:- x³-3x²-9x-5? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise:- x³-3x²-9x-5?.
Factorise:- x³-3x²-9x-5? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorise:- x³-3x²-9x-5? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise:- x³-3x²-9x-5?.
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