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

sanuluy

sanuluy

Answered question

2021-01-10

Need to calculate:The factorization of x37x2+4x28.

Answer & Explanation

brawnyN

brawnyN

Skilled2021-01-11Added 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).

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?