Decide the factorization of the polynomial m^{2}+5m+mt+5t

Cem Hayes

Cem Hayes

Answered question

2021-02-20

Decide the factorization of the polynomial m2+5m+mt+5t

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-02-21Added 90 answers

Formula used:
The factors of a polynomial can be find by taking a common factor and this method is called factor by grouping,
ab+ac+bd+cd=a(b+c)+d(b+c)
=(a+d)(b+c)
Or,
abac+bdcd=a(bc)+d(bc)
=(a+d)(bc)
Calculation:
Consider the polynomial m2+5m+mt+5t.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
m2+5m+mt+5t=(m2+Sm)+(mt+5t)
=m(m+5)+t(m+5)
As, (m+5) is the common factor of the polynomial factor it out as follows:
m2+5m+mt+5t=(m+5m)+(mt+5t)
=m(m+5)+t(m+5)
=(m+5)(m+1)
The factorization of the polynomial m2+5m+mt+5t is (m+5)(m+t).
Check the result as follows:
(m+5)(m+t)=mm+mt+5m+5t
=m2+mt+5m+5t
=m2+5m+mt+5t
Thus, the factorization of the polynomial m2+5m+mt+5t is (m+5)(m+t).

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?