Need to calculate:The factorization of 2x^{3}-8x^{2}-9x+36.

vestirme4 2020-11-23 Answered
Need to calculate:The factorization of 2x38x29x+36.
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Expert Answer

Theodore Schwartz
Answered 2020-11-24 Author has 99 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 2x38x29x+36.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
2x38x29x+36=(2x38x2)(9x36)
=2x2(x4)9(x4)
As, (x4) is the common factor of the polynomial,
The polynomial can be factorized as,
2x2(x4)9(x4)=(x4)(2x29)
Therefore, the factorization of the polynomial 2x38x29x+36 is (x4)(2x29).
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