Question

1. how many terms are present in the polynomial $8x^{3}+5x^{2}-3x + 1$?

a. 3
b. 4
c. 2
d. 5

Explanation:

Step1: Define a term in a polynomial

A term in a polynomial is a single number, variable, or the product of a number and one or more variables, separated by addition or subtraction signs.

Step2: Identify terms in the given polynomial

For the polynomial \(8x^{3}+5x^{2}-3x + 1\), we look at each part separated by + or -:

• The first term is \(8x^{3}\)
• The second term is \(5x^{2}\)
• The third term is \(-3x\) (note that the subtraction is part of the term's sign)
• The fourth term is \(1\)

Answer:

b. 4