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Question 3: Factorize x 2 − 11 x − 42

Question 3: Factorize x 2 − 11 x − 42

Factorization exercises —

Solution:

 

Let’s see how to evaluate an expression for factorization;

x^2-11x-42

Break -11x into two parts such that if these two parts are added they give -11x —- and when these two parts are multiplied, they give -42x^2:

 

We can think of two terms -14x and +3x as parts of -11 x — such that;

(-14x) + (3x) = -14x+3x = -11x

and

(-14x)(3x) = -42x

So,

=x^2-14x+3x^2-42

 

Taking out common x from first two terms and 3 from last two terms, we get;

=x(x-14)+3(x-14)

Can be written as;

=[x(x-14)+3(x-14)]

Now (x-14) can be taken out as common;

=(x-14)[x+3]

Or

=(x-14)(x+3)

 

 


 

 

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