Intermediate Algebra (11th edition)

(b) Use the definition. Substitute. Change subtraction to addition. = 4 x^2 + 4 x Add. NOW TRY = 1 x^2 - 3 x+ 72 + 13 x^2 + 7 x- ...

This function his called the compositionof functions gand ƒ, written gƒ. SECTION 5.3 Polynomial Functions, Graphs, and Composit ...

If we interchange the order of the functions in Example 5,the composition of g and ƒ is defined by. To find , we let Definition ...

NOTE A linear function(Section 3.6)is a specific kind of polynomial function. SECTION 5.3 Polynomial Functions, Graphs, and Comp ...

(b) For each input x, square it and then take its opposite. Plotting and joining the points gives a parabola that opens down. It ...

10.The total number of airports ( public and private) in the United States during the years 1980 through 2007 can be approximate ...

Let and Find each value or expression. See Examples 5 and 6. 47. 48. 49. 50. Solve e ...

SECTION 5.4 Multiplying Polynomials 293 OBJECTIVES Multiplying Polynomials 5.4 1 Multiply terms. 2 Multiply any two polynomials. ...

Multiplying Polynomials Vertically Find each product. (a) Write the factors vertically. Multiply Multiply Combine like terms. (b ...

To get 9x, the outerterms are multiplied. Outer terms The term comes from the innerterms. Inner terms Finally, comes from the la ...

Compact form: Add. (b) First Outer Inner Last Combine like terms. (c) FOIL Combine like terms. NOW TRY OBJECTIVE 4 Find the prod ...

Squaring Binomials Find each product. (a) (b) = p^2 - 8 p+ 16 = p^2 - 2 #p# 4 + 42 1 x-y 22 =x^2 - 2 xy+y^2 1 p- 422 = m^2 + 14 ...

298 CHAPTER 5 Exponents, Polynomials, and Polynomial Functions (d) Square twice. Distributive property Distributive property aga ...

SECTION 5.4 Multiplying Polynomials 299 Complete solution available on the Video Resources on DVD 5.4 EXERCISES Concept Check Ma ...

300 CHAPTER 5 Exponents, Polynomials, and Polynomial Functions 63.Concept Check Use the special product rule to find the product ...

SECTION 5.4 Multiplying Polynomials 301 For each pair of functions, find the product. See Example 8. , 114. , 115.ƒ 1 x 2 =x+ ...

302 CHAPTER 5 Exponents, Polynomials, and Polynomial Functions OBJECTIVES OBJECTIVE 1 Divide a polynomial by a monomial. Recall ...

OBJECTIVE 2 Divide a polynomial by a polynomial of two or more terms. This process is similar to that for dividing whole numbers ...

Start with Subtract by mentally changing the signs on and adding. Subtract. Bring down the next term. Bring down In the next ste ...

Dividing by a Polynomial with a Missing Term Divide by Missing term Remainder The degree of the remainder, is less than the degr ...