g Fndtns 2 8.Roland Morris - 7-2 Multiplying Polynomials Notes (pdf).pSavedName:Period:Example 2: How is multiplying binomials like multiplying two-digit numbers?(x+ 5)(x+8),5-615 - 18You can write15- 18 inexpanded form as(10 +5)(10 + 8).1010 10080504015 - 18 = 100 + 80 + 50 + 40270FOIL method:10-40Try It Problem # 2: Find the product: (5x - 4)(2x + 1)

Answered: Image /qna-images/answer/cc97054f-3710-4fde-a934-b28e6afab61c.jpg

Answered: Example 2: How is multiplying binomials…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 11E: 11. a. List all the polynomials in that have degree 2. b. Determine which of the polynomials in...

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DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?
Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?
DISCUSS: Degrees of Sums and Products of Polynomials Make up several pairs of polynomials, then calculate the sum and product of each pair. On the basis of your experiments and observations, answer the following questions. (a) How is the degree of the product related to the degrees of the original polynomials? (b)How is the degree of the sum related to the degrees of the original polynomials? (c) Test your conclusions by finding the sum and product of the following polynomials: 2x3+x3 and 2x3x+7
Polynomials Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomial; then list it terms and state its degree.
11. a. List all the polynomials in that have degree 2. b. Determine which of the polynomials in part a are units. If none exists, state so.

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Example 2: How is multiplying binomials like multiplying two-digit numbers? (x+5)(x+8) 5-6 15 - 18 You can write 4. 15- 18 in 10 8. expanded form as (10 + 5)(10 + 8). 10 100 80 5. 50 40 15- 18- 100 -+ 80 + 50 + 40 =270