Question
Linear Expressions, Equations & Inequalities Unit Test
5 of 155 of 15 Items
Question
How would you rewrite the expression 6x+18x2
by factoring out the GCF
Answers
Answered by
GPT-4o mini
To factor the expression \( 6x + 18x^2 \) by finding the greatest common factor (GCF), we first identify the GCF of the coefficients and the variable parts of the expression.
1. The coefficients are 6 and 18. The GCF of 6 and 18 is 6.
2. The variable part is \( x \) and \( x^2 \). The GCF here is \( x \) (the lowest power of \( x \)).
Now, we can factor out the GCF, which is \( 6x \):
\[
6x + 18x^2 = 6x(1 + 3x)
\]
So, the factored expression is:
\[
6x(1 + 3x)
\]
1. The coefficients are 6 and 18. The GCF of 6 and 18 is 6.
2. The variable part is \( x \) and \( x^2 \). The GCF here is \( x \) (the lowest power of \( x \)).
Now, we can factor out the GCF, which is \( 6x \):
\[
6x + 18x^2 = 6x(1 + 3x)
\]
So, the factored expression is:
\[
6x(1 + 3x)
\]
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