Need to calculate:The factorization of 3p^{3}-2p^{2}-9p+6.

York 2020-11-12 Answered
Need to calculate:The factorization of 3p32p29p+6.
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Expert Answer

Fatema Sutton
Answered 2020-11-13 Author has 88 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 3p32p29p+6.
This is a four term polynomial, factorization of this polynomial can be found by factor by grouping as,
3p32p29p+6=(3p32p2)+(9p+6)
=p2(3p2)3(3p2)
As, (3p2) is the common factor of the polynomial,
The polynomial can be factorized as,
3p32p29p+6=p2(3p2)3(3p2)
=(3p2)(p23)
Therefore, the factorization of the polynomial is (3p2)(p23).
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