http://www.ck12.org Chapter 2. Polynomials and Rational Functions
− 1
2 +x=x
− 1 =x( 2 +x)
− 1 =x^2 + 2 x
0 =x^2 + 2 x+ 1
0 = (x+ 1 )^2
x=− 1The reason why this expression is included in this concept is because it highlights one problem solving aspect of
simplifying expressions that distinguishes PreCalculus from Algebra 1 and Algebra 2.
Practice
Perform the indicated operation and simplify as much as possible.
xx 22 ++^54 xx++^43 ·^5 x^2 x++^154 x
x 2 x+^24 −x^4 + 4 ·x−^72
3.^4 x 52 x−+ 1012 x·x+x^2 ÷x− 13
4.^4 x^3 x−^4 x÷^2 xx−− 42
5.^2 xx^3 ++ 18 x÷ 2 x 2 x− 2
x (^2) +^3 x 2 −x−^115 −x+^25
xx (^22) −− 48 xx−+ 217 ·x 12 −−x^92
x+^27 +x−^17
x−^67 −x+^67
10.^3 xx 2 +−^3525 +x+^25
x (^22) −x 4 +x^20 − 12 +x+^22
x+^26 −x (^2) −x 3 −x^9 − 18
13.−x (^2) +^511 x+x^30 + 30 +x+^25
xx++^32 +x^32 +x^44 +x^22 +x (^25) −x+ 4020
2 + −^4 − 4
2 + 2 + −−^44
2 + 2 +− 24 −+ (^4) ...