Answer:
The factored expression is: [tex]2x(x + 3)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]2x^2 + 6x[/tex]
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]
The factored expression is: [tex]2x(x + 3)[/tex]
