Need to calculate:The factorization of the polynomial, 3x^{2}-2x+3x-2.

naivlingr 2020-11-08 Answered
Need to calculate:The factorization of the polynomial, 3x22x+3x2.
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Expert Answer

Tuthornt
Answered 2020-11-09 Author has 107 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 3x22x+3x2.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
3x22x+3x2=(3x22x)+(3x2)
=x(3x2)+1(3x2)
As, the binomial (3x2) is the common factor of the polynomial.
The polynomial can be factorized as,
3x22x+3x2=x(3x2)+1(3x2)
=(3x2)(x+1)
Therefore, the factorization of the polynomial is (3x2)(x+1).
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