Question

question
answer the questions about the following polynomial.

$8x^3 + 6x - 1$

answer attempt 1 out of 2

the expression represents a \dropdown polynomial with \boxed{} terms. the constant term is \boxed{}, the leading term and the leading coefficient is \boxed{}.

(the dropdown options are: linear, quartic, quintic, cubic, quadratic)

submit answer

Explanation:

Step1: Identify polynomial degree

The highest exponent in $8x^3 + 6x - 1$ is 3, so it is cubic.

Step2: Count total terms

The terms are $8x^3$, $6x$, and $-1$: total 3 terms.

Step3: Find constant term

The term without $x$ is $-1$.

Step4: Identify leading term

The term with the highest exponent is $8x^3$.

Step5: Extract leading coefficient

The coefficient of $8x^3$ is 8.

Answer:

The expression represents a cubic polynomial with 3 terms. The constant term is $-1$, the leading term is $8x^3$ and the leading coefficient is $8$.