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Maths-

General

Easy

Question

Identify the missing terms.
$x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis$

hint Hint:

factorize the LHS by taking common terms out and match the factors with RHS.

The correct answer is: x and 8 are the missing terms

ANS :- x and 8 are the missing terms
Given, $x squared plus 11 x plus 24$
Write $11 x text as end text 3 x plus 8 x text then we get end text x squared plus 3 x plus 8 x plus 24$
Take x common from 1st two and 8 common from last two we get $x left parenthesis x plus 3 right parenthesis plus 8 left parenthesis x plus 3 right parenthesis$
Now, take x + 3 as common We get $6 x squared minus 60 x plus 150 equals left parenthesis x plus 3 right parenthesis left parenthesis x plus 8 right parenthesis$
∴ upon comparing x and 8 are the missing terms respectively.

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