5-3 Polynomial Functions
CCSS PERSEVERANCE State the degree and
leading coefficient of each polynomial in one
variable. If it is not a polynomial in one variable,
explain why.
19. (d + 5)(3d – 4)
3
2
If c(x) = x – 2x and d(x) = 4x – 6x + 8, find
each value.
2
53. 5c(a ) – 8d(6 – 3a)
SOLUTION: SOLUTION: The degree of the polynomial is the value of the
greatest exponent. The leading coefficient is the
coefficient of the first term of a polynomial written in
standard form. The degree = 2, leading coefficient =
3.
2
3
If c(x) = 2x – 4x + 3 and d(x) =–x + x + 1, find
each value.
2
34. c(y – 1)
SOLUTION: Find p (–2) and p (8) for each function.
56. MULTIPLE REPRESENTATIONS Consider g
(x) = (x – 2)(x + 1)(x – 3)(x + 4)
a. ANALYTICAL Determine the x- and yintercepts, roots, degree, and end behavior of g(x).
b. ALGEBRAIC Write the function in standard
form.
c. TABULAR Make a table of values for the
function.
d. GRAPHICAL Sketch a graph of the function by
plotting points and connecting them with a smooth
curve.
SOLUTION: a. Degree: 4;
46. SOLUTION: x-intercepts: x = 2, –1, 3, –4.
y-intercept: y = 24.
End behavior:
b.
c.
3
2
If c(x) = x – 2x and d(x) = 4x – 6x + 8, find
each value.
2
53. 5c(a ) – 8d(6 – 3a)
SOLUTION: eSolutions Manual - Powered by Cognero
56. MULTIPLE REPRESENTATIONS Consider g
(x) = (x – 2)(x + 1)(x – 3)(x + 4)
Page 1
d.
5-3 Polynomial Functions
56. MULTIPLE REPRESENTATIONS Consider g
(x) = (x – 2)(x + 1)(x – 3)(x + 4)
a. ANALYTICAL Determine the x- and yintercepts, roots, degree, and end behavior of g(x).
b. ALGEBRAIC Write the function in standard
form.
c. TABULAR Make a table of values for the
function.
d. GRAPHICAL Sketch a graph of the function by
plotting points and connecting them with a smooth
curve.
SOLUTION: a. Degree: 4;
72. If i =
F 70
H –35
G 35
J –70
then 5i(7i) =
SOLUTION: The correct choice is H.
x-intercepts: x = 2, –1, 3, –4.
y-intercept: y = 24.
End behavior:
b.
c.
d.
eSolutions
Powered by Cognero
=
72. If i =Manual - then 5i(7i)
F 70
H –35
Page 2