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;
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 :
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,
Taking out common x from first two terms and 3 from last two terms, we get;
Can be written as;
Now (x-14) can be taken out as common;
Or