Question

find the number of terms and the degree of this polynomial.
-7j⁷ - j⁵ + 3
number of terms:
degree:

Explanation:

Step1: Identify terms in the polynomial

A term in a polynomial is a single number, variable, or the product of a number and one or more variables. In the polynomial \(-7j^{7}-j^{5}+3\), the terms are \(-7j^{7}\), \(-j^{5}\), and \(3\). So we count these terms.
Number of terms \(= 3\)

Step2: Determine the degree of the polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial. For the term \(-7j^{7}\), the exponent of \(j\) is \(7\); for \(-j^{5}\), the exponent is \(5\); and for the constant term \(3\) (which can be thought of as \(3j^{0}\)), the exponent is \(0\). The highest exponent among these is \(7\). So the degree of the polynomial is \(7\).

Answer:

Number of terms: \(3\)
Degree: \(7\)