d Question 4: Factorize x 2 + 14 x + 48 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

Question 4: Factorize x 2 + 14 x + 48

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Question 4: Factorize x 2 + 14 x + 48

Factorization exercises — Factorization examples

Solution:

To see as how to evaluate an expression we first write it i-e

$x^2+14x+48$

We make two parts of mid term i-e 14x as 8x and 6x such that;

when we add these i-e;

$8x+6x=14x$

and when we multiply i-e;

$(8x)(6x)=48x^2$

So we can write;

$=x^2+8x+6x+48$

Taking x common from first two terms and 6 common from last two terms;

$=x(x+8)+6(x+8 )$

or

$=[x(x+8)+6(x+8 )]$

Now (x+8) can be taken as common i-e;

$=(x+8)[x+6]$

or

$=(x+8)(x+6)$

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Question 4: Factorize x 2 + 14 x + 48

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