Problem 50
Question
Factor each polynomial using the negative of the greatest common factor. $$-15 x^{2}+20$$
Step-by-Step Solution
Verified Answer
\(-5(3x^2 - 4)\)
1Step 1: Identify the GCF
The first step is to identify the greatest common factor (GCF) of \(-15x^2\) and \(20\). In this case, the GCF is \(-5\), without considering the negative sign.
2Step 2: Factor out the GCF
After identifying the GCF, the second step is to factor out \(-5\) from each term in the polynomial. This is done by dividing each term in the polynomial by \(-5\). This gives: \(-5(3x^2 - 4)\)
3Step 3: Checking the Result
After factoring out the GCF, it's important to check the results by multiplying \(-5\) with each term within the parentheses. If the result matches the original polynomial, the factoring was done correctly: \(-5(3x^2 - 4) = -15x^2 + 20\)
Other exercises in this chapter
Problem 50
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