Consider the polynomial, 5x^5 - 9x^3 + 2x^11 + 6.
What is the degree
what is the leading coefficient
what is the number of terms?
what is the constant term?
Solve step by step
The degree of a polynomial is the highest exponent of the variable. In this case, the highest exponent is 11, so the degree of the polynomial is 11.
The leading coefficient is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 2x^11, so the leading coefficient is 2.
The number of terms in a polynomial is the total count of distinct terms. In this case, there are four terms: 5x^5, -9x^3, 2x^11, and 6.
The constant term is the term without a variable, or the term with the exponent of 0. In this case, the constant term is 6.
To solve step by step, there is not enough information given. The polynomial can be factored, simplified, or evaluated for specific values of x, but there is no specific problem or question asked. If a specific question or problem is provided, I can provide a step-by-step solution.