Need to calculate:The factorization of x^{3}+8x^{2}-3x-24.

generals336 2021-01-06 Answered
Need to calculate:The factorization of x3+8x23x24.
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Expert Answer

gwibdaithq
Answered 2021-01-07 Author has 84 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 x3+8x23x24.
This is a four term polynomial, factorization of this polynomial can be find by factor by grouping as,
x3+8x23x24=(x3+8x2)(3x+24)
=x2(x+8)3(x+8)
As, (x+8) is the common factor of the polynomial,
The polynomial can be factorized as,
x2(x+8)3(x+8)=(x+8)(x3)
Therefore, the factorization of the polynomial x3+8x23x24 is (x+8)(x23).
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