Question

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

Answer 1

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if $f(x) = 10x^5 + 7x^4+5$ is a polynomial function, then state its degree and leading coefficient or not.

• Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, $f(x) = 10x^5 + 7x^4+5$ is a polynomial function

• Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has highest degree 5

Degree = 5

• Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has  leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

• brainly.com/question/10771256
• brainly.com/question/1414350
• brainly.com/question/2568692

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