Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
x + 7 - 4x^3
Any answers
To write the polynomial in standard form, we need to arrange the terms in descending order of their exponents.
The given polynomial is: x + 7 - 4x^3
Rearranging the terms, and combining like terms, we get: -4x^3 + x + 7
The polynomial in standard form: -4x^3 + x + 7
Based on its degree and number of terms, we can classify this polynomial as a trinomial (3 terms) of degree 3 (highest exponent is 3).
To write the polynomial in standard form, we need to arrange the terms in descending order of their exponents. Let's start by rearranging the terms:
-4x^3 + x + 7
Now, let's identify the degree of this polynomial, which is the highest exponent of x that appears. In this case, the degree is 3, since the highest exponent of x is 3.
Next, let's determine the number of terms in this polynomial. To count the terms, we look for the individual expressions separated by addition or subtraction signs. In this case, we have three terms: -4x^3, x, and 7.
Based on its degree and number of terms, we can name this polynomial as a "trinomial" since it has three terms, and it is a "cubic polynomial" since the highest exponent is 3.
list the terms with highest power first, in descending order
The degree is the highest power
terms are separated by +/- signs