Question

question 2 of 10
enter the degree of the polynomial below.
$6x^6 + 9x^3 + 3x^2 - 4x^{10} - 9x^5 - 5x^6$
a. 6
b. 10
c. 4
d. 9

Explanation:

Step1: Recall the definition of the degree of a polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial.

Step2: Identify the exponents of each term

Let's list the exponents of \( x \) in each term of the polynomial \( 6x^6 + 9x^3 + 3x^2 - 4x^{10} - 9x^5 - 5x^6 \):

• For \( 6x^6 \), the exponent is \( 6 \).
• For \( 9x^3 \), the exponent is \( 3 \).
• For \( 3x^2 \), the exponent is \( 2 \).
• For \( -4x^{10} \), the exponent is \( 10 \).
• For \( -9x^5 \), the exponent is \( 5 \).
• For \( -5x^6 \), the exponent is \( 6 \).

Step3: Determine the highest exponent

Among the exponents \( 6, 3, 2, 10, 5, 6 \), the highest one is \( 10 \).

Answer:

B. 10