GCF = x²
Step-by-step explanation:
2x³ + x²
To find the greatest common factor (GCF), we need to factorise the expression.
x is common to both expression, so we factor it out
x(2x² + x)
When we check again, x is common to both so we factor it out again
2x² + x = x(2x + 1)
x(2x² + x) = x (x(2x + 1) = x² (2x + 1)
There is no other number we can factor out asides 1. As a result, the factor outside the parenthesis is the greatest common factor (GCF)
Hence, GCF = x²