write a trinomial of degree 4 such that the GCF of its terms is 1
degree 4 begins with x^4
trinomial means 3 terms
so you can add two more terms. It doesn't matter if it is x^3, x^2, or x or a constant.
With a greatest common factor of 1 means that the the coefficients should be written in such a way that they don't have a factor in common.
examples, 3, 5, 11.
Can you finish with these hints?
To write a trinomial of degree 4 whose greatest common factor (GCF) of its terms is 1, we need to ensure that there are no common factors among the coefficients and variables. Here's an example:
Let's consider the trinomial: x^4 + 3x^3 - 2x^2.
In this trinomial, the GCF of its terms is 1 because there are no common factors among the coefficients (1, 3, -2) and the variables (x^4, x^3, x^2). The highest power of x is 4, making its degree 4.
It's important to note that the need for a trinomial restricts us to have only three terms. If you're looking for a polynomial with a higher degree, you can use the same idea of having no common factors between coefficients and variables but with more terms.