CK-12-Pre-Calculus Concepts

2.4. Rational Expressions http://www.ck12.org 2.4 Rational Expressions Here you will add, subtract, multiply and divide rational ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions numerator and denominator may be canceled. The reason they can ...

2.4. Rational Expressions http://www.ck12.org ((x(+(^3 )((x(−(^3 () (x^2 + 9 )((x(+( 3 )((x(−( 3 ()− 4 x (x^2 + 9 )· 2 (x− 3 ) = ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions =x (^2) − 6 x+ 8 −x (^2) +x+ 12 +x (^2) − 2 x− 30 D =x (^2) − ...

2.4. Rational Expressions http://www.ck12.org = ( 1 x+ 1 − 1 x+ 2 ) ÷ ( 1 x− 2 + 1 x+ 1 ) = [ (x+ 2 ) (x+ 1 )(x+ 2 )− (x+ 1 ) (x ...

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 ...

2.5. Polynomial Long Division and Synthetic Division http://www.ck12.org 2.5 Polynomial Long Division and Synthetic Division Her ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Polynomial long division is identical to regular long division ...

2.5. Polynomial Long Division and Synthetic Division http://www.ck12.org Second, check your result with the Remainder Theorem wh ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions x^3 + 2 xx^2 −− 24 x+ 8 Completely factor the following polyn ...

2.6. Solving Rational Equations http://www.ck12.org 2.6 Solving Rational Equations Here you will extend your knowledge of linear ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions x(x+ 3 )− 5 = 12 (x+ 3 ) x^2 + 3 x− 5 − 12 x− 36 = 0 x^2 − 9 x ...

2.6. Solving Rational Equations http://www.ck12.org 2 xy− 5 y=− 3 x+ 7 y( 2 x− 5 ) =− 3 x+ 7 y=− 23 xx−+ 57 Concept Problem Revi ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Solve the following rational equation. x+ 2 x − 3 x+ 2 = 6 x ...

2.6. Solving Rational Equations http://www.ck12.org A follow up question would be to ask whether or not ohms can be negative whi ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 2.7 Holes in Rational Functions Here you will start factoring ...

2.7. Holes in Rational Functions http://www.ck12.org This is the essence of dealing with holes in rational functions. You should ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions The removable discontinuity occurs at (1, 5). Example C Graph ...

2.7. Holes in Rational Functions http://www.ck12.org Note that there are two holes that do not fit in the graph window. When thi ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Identify the holes of the following function. f(x) =x·sinsinx ...