Give the degree of the polynomial and identify its leading coefficient.
-$8 x ^ { 3 } y ^ { 2 } - 7 x ^ { 5 } y ^ { 4 } + x ^ { 9 } y$
A)degree: 10; leading coefficient: 8
B)degree: 9; leading coefficient: -7
C)degree:9; leading coefficient: 8
D)degree: 10; leading coefficient: 1

Question

Quizplus · Accepted Answer

The degree of a polynomial is the highest sum of the exponents of variables in any term of the polynomial. For the given polynomial, the term with the highest degree is $x^9y$, which has a degree of $9 + 1 = 10$. The leading coefficient is the coefficient of the term with the highest degree, which in this case is 1.

Give the Degree of the Polynomial and Identify Its Leading 8x3y2−7x5y4+x9y8 x ^ { 3 } y ^ { 2 } - 7 x ^ { 5 } y ^ { 4 } + x ^ { 9 } y8x3y2−7x5y4+x9y

Give the Degree of the Polynomial and Identify Its Leading $8 x ^ { 3 } y ^ { 2 } - 7 x ^ { 5 } y ^ { 4 } + x ^ { 9 } y$