Final answer:
To put the polynomial 6x + 2x + 12 in standard form, combine like terms to get 8x + 12. The degree of the polynomial is 1, the leading coefficient is 8, and the number of terms is 2.
Step-by-step explanation:
To put the polynomial 6x + 2x + 12 in standard form, we need to combine like terms. Like terms are terms with the same variable raised to the same power. In this case, the like terms are 6x and 2x, so we can combine them to get 8x. Therefore, the polynomial in standard form is 8x + 12.
The degree of a polynomial is the highest power of the variable. In this case, the highest power of x is 1, so the degree of the polynomial is 1.
The leading coefficient is the coefficient of the term with the highest power. In this case, the coefficient of the term with the highest power is 8, so the leading coefficient of the polynomial is 8.
The number of terms in the polynomial is the number of separate expressions separated by addition or subtraction. In this case, there are two separate expressions (6x and 2x), so the number of terms is 2.