Answer:
The factors of the given polynomial are : (k + 1)(k + 12)
Step-by-step explanation:
The quadratic equation which is needed to be factorized is given as :
k² + 13k + 12
In order to factorize this, arrange 13k in such a way that the product of its factors equals to 12k² ⇒ 13k = 12k + k
⇒ k² + 13k + 12
⇒ k² + k + 12k + 12
⇒ k(k + 1) + 12(k + 1)
⇒ (k + 1)(k + 12)
Hence, The factors of the given polynomial are : (k + 1)(k + 12)
