Question

The GCF of x^2 and x^4

Answer 1

x²

Explanation:

The greatest common factor (GCF) of two or more polynomials is the largest polynomial that is a factor of all of the given polynomials.

To find the GCF of x² and x⁴, we can factor them into their prime factorizations:

`\sf x^2 = x \cdot x`

`\sf x^4 = x \cdot x \cdot x \cdot x`

The only common factor is
`\sf x \cdot x = x ^2`, so the GCF is
`\boxed{\sf x^2}`