Question

3.2.3. In the table below, the written explanation of the steps have been provided, show the

mathematical steps for the explanations given.
WH
Factorize x²+x-12
Mathematical steps.
x² + 4x -3x - 12
(x+4)(x-3)
Explanation
Rewrite the middle term of the trinomial
using the values from the chart above.
Group pairs of terms.
Factor out the HCF of the first group.
Factor out the HCF of the second group.
Factor out HCF of the two terms
The final factorized answer
SURINATE

Answer 1

To factorize x² + x - 12, we can follow these mathematical steps:

1. Rewrite the middle term of the trinomial using the values from the chart above:
x² + 4x - 3x - 12

2. Group pairs of terms:
(x² + 4x) - (3x + 12)

3. Factor out the HCF of the first group:
x(x + 4) - 3(x + 4)

4. Factor out the HCF of the second group:
(x + 4)(x - 3)

5. Factor out HCF of the two terms:
We can see that (x + 4) is a common factor in both terms, so we can factor it out:
(x + 4)(x - 3)

6. The final factorized answer is (x + 4)(x - 3).