Concept explainers
(a)
To fill: The blank space in the statement “A_________ is a single term or a sum of terms”.
(b)
To fill: The blank spaces in the statement “For the term
(c)
To fill: The blank space in the statement “Given the term
(d)
To fill: The blank spacein the statement “A monomial is a polynomial with exactly _______term(s)”.
(e)
To fill: The blank space in the statement “A _________ is a polynomial with exactly two term(s)”.
(f)
To fill: The blank space in the statement “A _________ is a polynomial with exactly three term(s)”.
(g)
To fill: The blanks space in the statement “The term with the highest degree is called the ___________ term and its coefficient is called the _____________”.
(h)
To fill: The blank space in the statement “The degree of a polynomial is the __________ degree of all of its terms”.
(i)
To fill: The blank space in the statement “The degree of a nonzero constant such as 5 is_________”.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Beginning and Intermediate Algebra
- 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?arrow_forwardGift boxes The corners of a 12 in.-by-12 in. piece of cardboard are folded inward and glued to make a box. Write a polynomial that represents the volume of the resulting box.arrow_forwardFill in the blanks. A monomial is a polynomial with _______ term.arrow_forward
- CONCEPTS To subtract polynomials, we subtract terms. So (2x3+9x2+x+10)(x3+x2+6x+8)=.arrow_forwardGenetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na. (a) What percent of the possible gene combinations result in albino coloring? (b) Each parent’s gene combination is represented by the polynomial 0.5N+0.5a. The product 0.5N+0.5a2 represents the possible gene combinations of an offspring. Findthis product. (c) The coefficient of each term of the polynomial you wrote in part (b) is the probability (indecimal form) of the offspring having that gene combination. Use this polynomial toconfirm your answer in part (a). Explain.arrow_forwardIf we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then we say that xc is the divisor, Q(x) is the _________, and R(x) is the ________.arrow_forward
- Find the degree of the following polynomials: (a) 52 (b) a4b17a4 (c) 5x+6y+2z (d) 3x25x+7 (e) a3arrow_forwardRoller coaster A portion of a roller coasters tracks can be modeled by the polynomial function f(x)=0.0001(x3600x2+90,000x), where 0x400.f(x) represents the height of the roller coaster in feet and x represents the horizontal distance in feet. a. Find the height of the roller coaster when x=100 yards. b. Find the values of x on the interval [0,400] at which the height of the roller coaster is 0 yards.arrow_forward(a) If we divide the polynomial P(x) by the factor xc and we obtain a remainder of 0, then we know the c is ______of P. (b) If we divide the polynomial P(x) by the factor xc and we obtain a remainder of k, then we know that P(c)=.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage