how do i find the greatest monomial factor of 4x^2-17?

p.s. the ^ means the the number following in superscript((which is a tiny number above it))) it says 4x squared minus 17

I can factor 4x^2-17 but not 4x^2-17

The only factor I know of is 1.

To find the greatest monomial factor of the expression 4x^2 - 17, you need to factorize it and then determine the largest monomial that divides all its terms.

Step 1: Factorize the expression.
In this case, the given expression, 4x^2 - 17, cannot be factored further since there are no common factors or perfect square terms.

Step 2: Identify the monomial factors of each term.
The expression has two terms: 4x^2 and -17.
The monomial factors of 4x^2 are 4 and x^2.
The monomial factors of -17 are -1 and 17.

Step 3: Determine the greatest monomial factor.
The greatest monomial factor should be the product of the common factors of both terms. However, since there are no common factors between 4x^2 and -17, the greatest monomial factor is simply 1.

Therefore, the greatest monomial factor of 4x^2 - 17 is 1.