CPM Homework Help : A2C Problem 9-57

For each of the following polynomial expressions, find the degree, list the coefficients, and then label them a₀ through a_n. Refer to the example in the Lesson 9.1.3 Math Notes box above about polynomial notation.

$6x^{4} − 3x^{3} + 5x^{2} + x + 8$
Answer (a):
$\text{Degree } 4,a_{4} = 6, a_{3} = −3, a_{2} = 5, a_{1} = 1, a_{0} = 8$

$−5x^{3} + 10x^{2} + 8$
Answer (b):
Degree 3,
$a_{3} = −5, a_{2} = 10, a_{1} = 1, a_{0} = 8$

$−x^{2} + x$
Hint (c):
See the chapter Math Notes box.

$x\left(x − 3\right)\left(x − 5\right)$
Hint (d):
Simplify first.
Answer (d):
Degree 3,
$a_{3} = 1, a_{2} = − 8, a_{1} = 15, a_{0} = 0$

$x$
Hint (e):
See the chapter Math Notes box.

$10$
Hint (f):
See the chapter Math Notes box.