Braxton Pugh
2020-11-01
Answered

The term $20{x}^{3}$ appears in both the expressions $20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$ but factor $20{x}^{3}$ in different ways to obtain each polynomial factorization Whether the given statement make sense or does not make sence.

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Adnaan Franks

Answered 2020-11-02
Author has **92** answers

Calculation:

Given that the two expression are$20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$ .

In order to factor the expressions$20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$ , to find the greatest common factor of both term in given expression and factor out the GCF.

Thus, factor the term$20{x}^{3}$ depends on the second term of given expression.

Since the greatest common factor of$20{x}^{3}$ and $8{x}^{2}$ is $4{x}^{2}$ , the term $20{x}^{3}$ can be written as $5x-4{x}^{2}$ .

The greatest common factor of$20{x}^{3}$ and 10x is 10x, then the term $20{x}^{3}$ can be written as $10x\ast 2{x}^{2}$ .

Therefore, factor$20{x}^{3}$ in different ways to obtain each polynomial factorization.

Hence, the statement makes sence.

Given that the two expression are

In order to factor the expressions

Thus, factor the term

Since the greatest common factor of

The greatest common factor of

Therefore, factor

Hence, the statement makes sence.

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