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what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4)
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what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4)
Calculating the LCM of Polynomials
- To find the LCM of two polynomials, we first need to factorize each polynomial completely.
- Then we identify the common factors and choose the highest power of each factor that appears in either polynomial.
- Finally, we multiply these highest power factors together to get the LCM of the two polynomials.
Given Polynomials:
- First polynomial: 14(x^2-1)(x^2+1)
- Second polynomial: 18(x^4-1)(x+4)
Factorizing the Polynomials:
- First polynomial: 14(x+1)(x-1)(x^2+1)
- Second polynomial: 18(x^2+1)(x+1)(x-1)(x+2)(x-2)
Identifying Highest Power Factors:
- Common factors: (x+1), (x-1), (x^2+1)
- Highest powers: (x+1), (x-1), (x^2+1)
Multiplying Highest Power Factors:
- LCM = (x+1)(x-1)(x^2+1)
- LCM = x^2 - 1
Therefore, the Least Common Multiple (LCM) of the given polynomials 14(x^2-1)(x^2+1) and 18(x^4-1)(x+4) is x^2 - 1.
- To find the LCM of two polynomials, we first need to factorize each polynomial completely.
- Then we identify the common factors and choose the highest power of each factor that appears in either polynomial.
- Finally, we multiply these highest power factors together to get the LCM of the two polynomials.
Given Polynomials:
- First polynomial: 14(x^2-1)(x^2+1)
- Second polynomial: 18(x^4-1)(x+4)
Factorizing the Polynomials:
- First polynomial: 14(x+1)(x-1)(x^2+1)
- Second polynomial: 18(x^2+1)(x+1)(x-1)(x+2)(x-2)
Identifying Highest Power Factors:
- Common factors: (x+1), (x-1), (x^2+1)
- Highest powers: (x+1), (x-1), (x^2+1)
Multiplying Highest Power Factors:
- LCM = (x+1)(x-1)(x^2+1)
- LCM = x^2 - 1
Therefore, the Least Common Multiple (LCM) of the given polynomials 14(x^2-1)(x^2+1) and 18(x^4-1)(x+4) is x^2 - 1.
Community Answer
what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4)
I don't no
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what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4)
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what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4) for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4) covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for what will be the LCM of polynomial 14(x2-1)(x2+1) and 18(x4-1)(x+4).
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