14 Part I: The Questions
Adding Polynomials
83–87 Add the given polynomials.
83. (5x + 6) + (–2x + 6)
84. (2x
2
– x + 7) + (–2x
2
+ 4x – 9)
85. (x
3
– 5x
2
+ 6) + (4x
2
+ 2x + 8)
86. (3x + x
4
+ 2) + (–3x
4
+ 6)
87. (x
4
– 6x
2
+ 3) + (5x
3
+ 3x
2
– 3)
Subtracting Polynomials
88–92 Subtract the given polynomials.
88. (5x – 3) – (2x + 4)
89. (x
2
– 3x + 1) – (–5x
2
+ 2x – 4)
90. (8x
3
+ 5x
2
– 3x + 2) – (4x
3
+ 5x – 12)
79.
80.
End Behavior of Polynomials
81–82 Find the end behavior of the given polynomial.
That is, find lim ( )
x
f x
→−∞
and lim ( )
x
f x
→∞
.
81. f (x) = 3x
6
– 40x
5
+ 33
82. f (x) = –7x
9
+ 33x
8
– 51x
7
+ 19x
4
– 1