Question

2. Find the other polynomial q (x) h of each of the following, given that LCM and GCD and one polynomial p(x) respectively

Answer 1

Solution:-

given by:-
$1. {(x + 1)}^{2} ( {x + 2)}^{2} = (x + 1)(x + 1)(x + 2)(x + 2) \\ 2.(x + 1)(x + 2) \\ 3.( {x + 1)}^{2} (x + 2) = (x + 1)(x + 1)(x + 2) \\ lcm \: = ( {x + 1)}^{2} ( {x + 2)}^{2}ans \\ gcf = (x + 1)(x + 2)ans$
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Answer 2

HELLO DEAR,
$\mathbf{1. {(x + 1)}^{2} ( {x + 2)}^{2} = (x + 1)(x + 1)(x + 2)(x + 2) } \\ \\ \mathbf{2.(x + 1)(x + 2) }\\ \\ \mathbf{3.( {x + 1)}^{2} (x + 2) = (x + 1)(x + 1)(x + 2) } \\ \\ \mathbf{lcm \: = ( {x + 1)}^{2} ( {x + 2)}^{2}} \\ \mathbf{gcf = (x + 1)(x + 2)}$


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