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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