Question

What is the degree of the polynomial 5a⁶bc² + 8d⁵ - 7e⁶f² - 10g⁴h⁷?

A) 19
B) 14
C) 6
D) 7

Answer 1

The degree of the polynomial 5a⁶bc² + 8d⁵ - 7e⁶f² - 10g⁴h⁷ is 33.

Step-by-step explanation:

The degree of a polynomial is determined by the highest power of the variable in the polynomial. In the given polynomial, the highest power of the variable 'a' is 6, the highest power of the variable 'b' is 2, the highest power of the variable 'c' is 1, the highest power of the variable 'd' is 5, the highest power of the variable 'e' is 6, the highest power of the variable 'f' is 2, the highest power of the variable 'g' is 4, and the highest power of the variable 'h' is 7.

To find the degree of the polynomial, we add up the highest powers of all the variables. Therefore, the degree of the given polynomial is 6 + 2 + 1 + 5 + 6 + 2 + 4 + 7 = 33.

Since the degree of a polynomial represents the highest power of the variable, the correct answer is D) 33.