Determine whether each statement makes sense or does not make

Charles Kingsley 2021-12-17 Answered
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although 20x3 appears in both 20x3+8x2 and 20x3+10x, I’ll need to factor 20x3 in different ways to obtain each polynomial’s factorization?
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Expert Answer

vicki331g8
Answered 2021-12-18 Author has 37 answers
Step 1
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although 20x3 appears in both 20x3+8x2 and 20x3+10x, I’ll need to factor 20x3 in different ways to obtain each polynomial’s factorization?
Step 2
We are given two expressions:
20x3+8x2
and 20x3+10x
if we factorize them,
20x3+8x2=4x2(5x+2)
and 20x3+10x=10x(2x2+1)
We see that factorization depends on each term of the expression, so although both expressions contain one common term, because of the other term both have different ways.
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ol3i4c5s4hr
Answered 2021-12-19 Author has 48 answers
Step 1
Given:
20x3+8x2and20x3+10x
Step 2
Yes! statement makes sense
20x3+8x2
Break terms:
=2x×2x×5x+2x×2x×2
Take common out:
=2x×2x(5x+2)
=4x2(5x+2)
Step 3
20x3+10x
Take common out:
=10x(2x2+1)
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