Question

\\16x^3 - 8x^2 + 5x + 3x^4 - 3\\

a) number of terms
_________________.

b) degree
_________________.

c) leading coefficient
_________________.

d) type of polynomial
_________________.

Explanation:

Count the terms of the polynomial

$$ 16x^3, \quad -8x^2, \quad 5x, \quad 3x^4, \quad -3 $$

$$ \text{Total terms} = 5 $$

Determine the degree and leading coefficient

$$ \text{Standard form: } 3x^4 + 16x^3 - 8x^2 + 5x - 3 $$

$$ \text{Highest exponent (Degree)} = 4 $$

$$ \text{Coefficient of } x^4 \text{ (Leading Coefficient)} = 3 $$

Classify the polynomial type

$$ \text{Number of terms} = 5 \implies \text{Polynomial} $$

Answer:

Given the polynomial \(16x^3 - 8x^2 + 5x + 3x^4 - 3\):

a) Number of terms
<blank>5</blank>.

b) Degree
<blank>4</blank>.

c) Leading Coefficient
<blank>3</blank>.

d) Type of Polynomial
<blank>Polynomial</blank>.