Answers
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♧Question♧
- Factorize ( x² + 5x + 6 )
♧Answer♧
- ➠x² + 5x + 6
- ➠x² + 3x + 2x + 6
- ➠x ( x + 3 ) + 2 ( x + 3 )
- ➠( x + 3 ) ( x + 2 ) Ans.
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Answer : Given equation
Given equationGiven equationx2 + 5x + 6
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term:
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)= (x + 3)(x + 2)
Given equationGiven equationx2 + 5x + 6Given equationx2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.Factoring polynomials by splitting the middle term::We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.On solving this we obtain, a = 3 and b = 2Thus, the above expression can be written as:x2 + 5x + 6= x2 + 3x + 2x + 6 = x(x + 3) + 2(x + 3)= (x + 3)(x + 2)Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.
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