Question

3. Consider the following polynomial expression: 4x5 - 16x2 + 13x8.Part A: Write the polynomial expression in standard form.Part B: What is the degree of the polynomialePart C: How many terms are in the polynomialPart D: What is the leading termPart E: What is the leading coefficient?

Answer 1

Part A

In writing a polynomial in standard form, the terms with the highest exponents would come first. Looking at the given polynomial, the term with the highest exponent is 13x^8. The standard form is

13x^8 + 14x^5 - 16x^2

Part B

The degree of the polynomial is the highest exponent to which a term is raised. Thus, the degree is 8

Part C

The term of the polynomial is 3

Part D

The leading coefficient is the coefficient of the term with the highest exponent. The term is 13x^8. The leading coefficient is 13