write a trinomial of degree 4 such that GCFof its terms is 1
To write a trinomial of degree 4 with a greatest common factor (GCF) of 1, we will start by considering the GCF for each of the terms.
A trinomial has three terms, so we can write it in the form: ax^4 + bx^2 + c, where a, b, and c are the coefficients we need to determine.
Since we want the GCF of the terms to be 1, each term should be relatively prime. In other words, there should not be any common factors between the coefficients of the terms.
To ensure this, we can assign the coefficients randomly, making sure they are not divisible by any common factors.
For example, we can assign:
a = 3
b = 2
c = 5
So, the trinomial becomes: 3x^4 + 2x^2 + 5.