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

Cem Hayes 2021-02-20 Answered
Decide the factorization of the polynomial m2+5m+mt+5t
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Yusuf Keller
Answered 2021-02-21 Author has 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).

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more