Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary: m^{2}-5m-14

melodykap

melodykap

Answered question

2021-06-08

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
m25m14

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-06-09Added 109 answers

Step 1
We have to factor the polynomial:
m25m14
Factorizing by middle term splitting method,
Here,
14=7×2
and middle term can be replaced as:
7+2=5
Therefore,
m25m14=m27m+2m14=mm7+2m7
Step 2
Taking common m7, we get
mm7+2m7=m7m+2
Hence, factor of the polynomial is m7m+2.
Here greatest factor is m+2 since m is increased by 2 but in m7, m is decreased by 7.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?