Q. 2 F5.0( 1 Vote )

Find the other po

Answer :

Given: –


Polynomials p(x) = (x + 1)(x – 2)


And GCD[Greatest Common Divisor] = (x + 1)


And LCM[Lowest Common Multiple] = 2(x + 1) (x2 – 4)


Formula used: –


The product of 2 polynomial is equal to product of their LCM


and GCD.


Product of 2 polynomial = LCM × GCD


p(x) × q(x) = LCM × GCD


LCM × GCD = 2(x + 1) (x2 – 4) × (x + 1)


= 2(x + 1)2 (x2 – 22)


= 2(x + 1)2 (x – 2)(x + 2)


p(x) × q(x) = LCM × GCD


q(x) =


q(x) =


q(x) =


q(x) = 2(x + 2)(x + 1)


Conclusion: –


The other polynomial term q(x) is 2(x + 2)(x + 1)


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