### Home > CCA2 > Chapter 8 > Lesson 8.1.3 > Problem8-55

8-55.

For each of the following polynomial expressions, find the degree, list the coefficients, and then label them $a_0$ through $a_n$. Refer to the example in the Math Notes box above about polynomial notation.

1. $6x^4 - 3x^3 + 5x^2 + x + 8$

Degree 4,
a4 = 6, a3 = −3, a2 = 5, a1 = 1, a0 = 8

1. $-5x^3 + 10x^2 + 8$

Degree 3,
a3 = −5, a2 = 10, a1 = 0, a0 = 8

1. $-x^2 + x$

See the Math Notes box and parts (a) and (b).

1. $x(x - 3)(x - 5)$

Simplify first.

Degree 3,
a3 = 1, a2 = −8, a1 = 15, a0 = 0

1. $x$

See the Math Notes box and parts (a) and (b).

1. $10$

See the Math Notes box and parts (a) and (b).