Need to calculate:The factorization of 3x^{3}+2x^{2}+3x+2.

permaneceerc 2021-01-07 Answered
Need to calculate:The factorization of 3x3+2x2+3x+2.
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Expert Answer

Gennenzip
Answered 2021-01-08 Author has 96 answers
Formula used:
The factors of a polynomial can be find by taking a common factor and this method is calledcfactor by grouping,
abac+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 3x3+2x2+3x+2.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
3x3+2x2+3x+2=(3x3+2x2)+(3x+2)
=x2(3x+2)+1(3x+2)
As, (3x+2) is the common factor of the polynomial,
The polynomial can be factorized as,
x2(3x+2)+1(3x+2)=(3x+2)(x2+1)
Therefore, the factorization of the polynomial 3x3+2x2+3x+2 is (3x+2)(x2+1).
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