Question

What is the degree of the polynomial 5a6bc2+8d5+7e6f2−10g4h7 ? Enter your answer in the box.+

Answer 1

Answer:

11

Step-by-step explanation:

The degree of a polynomial is he highest of the degrees of its monomials (individual terms) with non-zero coefficients.

You are given the polynomial

$5a^6bc^2+8d^5+7e^6f^2-10g^4h^7$

It consists of 4 terms:

• $5a^6bc^2$
• $8d^5$
• $7e^6f^2$
• $-10g^4h^7$

The degrees are:

• of the first term is $6+1+2=9$
• of the second term is $5$
• of the third term is $6+2=8$
• of the fourth term is $4+7=11$

The greatest degree is 11.