Algebra 2 Polynomials Review (5.1-5.3)
Name_____________________________________
Part 1:
 Write each polynomial in standard form (descending exponents).
 Then classify it by degree (linear, quadratic, etc.) and by number of terms (monomial, binomial,
etc.).
a) 4x3  3 + 2x2
b) 8  x5 + 9x2  2x
c) 6x + 2x4  2
d) 3 + 24x2
Part 2:
 Identify the end behavior of the graph of each polynomial function. Use proper notation!
 Then, write a sentence describing how you were able to determine the end
behavior, given the equation.
a) y = 5x3  2x2 + 1
d) y = 3x2 + 9  x3
b) y = 5  x + 4x2
e) y = 8x2  4x4 + 5x7  2
c) y = x  x2 + 10
f) y = 20  x5
Part 3:


a)
Determine the sign of the leading coefficient and the degree of the polynomial.
Then, describe how you know these characteristics, given the graph.
b)
Part 4:

Use your calculator to identify the turning points (relative max/min) of the functions
and
record all intervals of increasing/decreasing

a) f(x) = 3x3 + 10x2 + 6x  3
b) f(x) = x3 + 4x2  x + 1
Part 5:



Find the zeros of each function.
Then graph the function with correct end behavior.
Make a table of values to help you plot more points in between the x-intercepts, if need be.
b) y = x(x  1)(x + 3)
a) y = (x + 2)(x + 3)
y
y
x
x