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

Question
Polynomial factorization
asked 2020-11-01
The term $$20x^{3}$$ appears in both the expressions $$20x^{3} + 8x^{2}$$ and $$20x^{3} + 10x$$ but factor $$20x^{3}$$ in different ways to obtain each polynomial factorization Whether the given statement make sense or does not make sence.

## Answers (1)

2020-11-02
Calculation:
Given that the two expression are $$20x^{3} + 8x^{2}$$ and $$20x^{3} + 10x$$.
In order to factor the expressions $$20x^{3} + 8x^{2}$$ and $$20x^{3} + 10x$$, to find the greatest common factor of both term in given expression and factor out the GCF.
Thus, factor the term $$20x^{3}$$ depends on the second term of given expression.
Since the greatest common factor of $$20x^{3}$$ and $$8x^{2}$$ is $$4x^{2}$$, the term $$20x^{3}$$ can be written as $$5x-4x^{2}$$.
The greatest common factor of $$20x^{3}$$ and 10x is 10x, then the term $$20x^{3}$$ can be written as $$10x*2x^{2}$$.
Therefore, factor $$20x^{3}$$ in different ways to obtain each polynomial factorization.
Hence, the statement makes sence.

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