Need to calculate:The factorization of x^{3}-7x^{2}+4x-28.

sanuluy 2021-01-10 Answered
Need to calculate:The factorization of x37x2+4x28.
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

brawnyN
Answered 2021-01-11 Author has 91 answers
Formula used:
The factors of a polynomial can be found 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 x37x2+4x28.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
x37x2+4x28=(x37x2)+(4x28)
=x2(x7)+4(x7)
As, (x7) is the common factor of the polynomial,
The polynomial can be factorized as,
x37x2+4x28=x2(x7)+4(x7)
=(x7)(x2+4)
Therefore, the factorization of the polynomial is (x7)(x2+4).
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

New questions