To determine how many terms are in the binomial expansion of the expression 2x + 35, we can use the formula related to the expansion of a binomial expression.
The general formula to find the number of terms in the binomial expansion of an expression of the form (a + b)n is given by n + 1, where n is the exponent of the binomial.
In this case, we first need to identify that we can consider 2x and 35 as our a and b terms, respectively. However, it’s essential to recognize that in the current expression, there is no explicit exponent given. Therefore, we assume the exponent of the binomial is 1, as the expression can be written as (2x + 35)1.
Applying the formula:
- n + 1 = 1 + 1 = 2
This means there are 2 terms in the binomial expansion of 2x + 35. The terms in the expansion are 2x and 35.