Question

1. which term has the highest degree in the polynomial $3x^4 - 7x^2 + x - 10$?

a. $-7x^2$
b. $x$
c. $-10$
d. $3x^4$

Explanation:

Step1: Identify term degrees

• Degree of $-7x^2$: $2$
• Degree of $x$: $1$
• Degree of $-10$: $0$
• Degree of $3x^4$: $4$

Step2: Compare degrees

$4 > 2 > 1 > 0$

Step3: Select highest degree term

The term with degree $4$ is $3x^4$

Answer:

d. $3x^4$