### Home > A2C > Chapter 9 > Lesson 9.1.3 > Problem 9-57

9-57.

For each of the following polynomial expressions, find the degree, list the coefficients, and then label them

*a*_{0}through*a*. Refer to the example in the Lesson 9.1.3 Math Notes box above about polynomial notation. Homework Help ✎_{n}6

*x*^{4}− 3*x*^{3}+ 5*x*^{2}+*x*+ 8−5

*x*^{3}+ 10*x*^{2}+ 8−

*x*^{2}+*x**x*(*x*− 3)(*x*− 5)*x*10

Degree 4,*a*_{4} = 6, *a*_{3} = −3, *a*_{2} = 5, *a*_{1} = 1, *a*_{0} = 8

Degree 3,*a*_{3} = −5, *a*_{2} = 10, *a*_{1} = 1, *a*_{0} = 8

See the Math Notes box.

Simplify first.

Degree 3,

a_{3} = 1, *a*_{2} = − 8, *a*_{1} = 15, *a*_{0} = 0

See the Math Notes box.

See the Math Notes box.