Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 8.1, Problem 34HP
To determine
The definition of prime factorization, the process to find prime factorization of a monomial and use of prime factorization to calculate the GCF of two or more monomials.
Expert Solution & Answer
Explanation of Solution
Prime Factorization can be defined as the process of finding the prime numbers that when multiplied to each other give the original number.
In order to find the prime factorization of a monomial, divide the number with the first prime number i.e. 2, keep dividing until there is a remainder or a decimal, then keep dividing by 3, 5 and other prime numbers until the numbers left are only prime numbers.
After this, write the original number as the product of these prime numbers.
To find the GCF from the prime factorization of the numbers, identify the common terms in the given two or more monomials. Then multiply these common terms to finally get the GCF.
Chapter 8 Solutions
Algebra 1
Ch. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 3CYPCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 29HPCh. 8.1 - Prob. 31HP
Ch. 8.1 - Prob. 32HPCh. 8.1 - Prob. 33HPCh. 8.1 - Prob. 35STPCh. 8.1 - Prob. 36STPCh. 8.1 - Prob. 37STPCh. 8.1 - Prob. 38STPCh. 8.1 - Prob. 39SRCh. 8.1 - Prob. 40SRCh. 8.1 - Prob. 45SRCh. 8.1 - Prob. 46SRCh. 8.1 - Prob. 51SRCh. 8.1 - Prob. 52SRCh. 8.1 - Prob. 53SRCh. 8.1 - Prob. 54SRCh. 8.1 - Prob. 1ACYPCh. 8.1 - Prob. 2ACYPCh. 8.1 - Prob. 2BCYPCh. 8.1 - Prob. 2CCYPCh. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 10PPSCh. 8.1 - Prob. 12PPSCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 34HPCh. 8.1 - Prob. 41SRCh. 8.1 - Prob. 42SRCh. 8.1 - Prob. 43SRCh. 8.1 - Prob. 44SRCh. 8.1 - Prob. 1BCYPCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYUCh. 8.1 - Prob. 11PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 30HPCh. 8.1 - Prob. 47SRCh. 8.1 - Prob. 48SRCh. 8.1 - Prob. 49SRCh. 8.1 - 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Prob. 59SRCh. 8.3 - Prob. 66SCh. 8.3 - Prob. 67SCh. 8.3 - Prob. 68SCh. 8.3 - Prob. 5CYPCh. 8.3 - Prob. 11CYUCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 37PPSCh. 8.3 - Prob. 38PPSCh. 8.3 - Prob. 39PPSCh. 8.3 - Prob. 40PPSCh. 8.3 - Prob. 41HPCh. 8.3 - Prob. 42HPCh. 8.3 - Prob. 43HPCh. 8.3 - Prob. 44HPCh. 8.3 - Prob. 45HPCh. 8.3 - Prob. 46HPCh. 8.3 - Prob. 47HPCh. 8.3 - Prob. 48HPCh. 8.3 - Prob. 49HPCh. 8.3 - Prob. 50STPCh. 8.3 - Prob. 51STPCh. 8.3 - Prob. 52STPCh. 8.3 - Prob. 53STPCh. 8.3 - Prob. 60SRCh. 8.3 - Prob. 61SRCh. 8.3 - Prob. 62SRCh. 8.3 - Prob. 63SRCh. 8.3 - Prob. 64SRCh. 8.3 - Prob. 65SRCh. 8.4 - Prob. 1ACYPCh. 8.4 - Prob. 1BCYPCh. 8.4 - Prob. 2ACYPCh. 8.4 - Prob. 2BCYPCh. 8.4 - Prob. 3ACYPCh. 8.4 - Prob. 3BCYPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8CYUCh. 8.4 - Prob. 9CYUCh. 8.4 - Prob. 10PPSCh. 8.4 - Prob. 11PPSCh. 8.4 - Prob. 12PPSCh. 8.4 - 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Prob. 69SCh. 8.4 - Prob. 70SCh. 8.4 - Prob. 71SCh. 8.4 - Prob. 72SCh. 8.4 - Prob. 73SCh. 8.4 - Prob. 74SCh. 8.4 - Prob. 4CYPCh. 8.4 - Prob. 29PPSCh. 8.4 - Prob. 39PPSCh. 8.4 - Prob. 41HPCh. 8.4 - Prob. 42HPCh. 8.4 - Prob. 43HPCh. 8.4 - Prob. 44HPCh. 8.4 - Prob. 61SRCh. 8.5 - Prob. 64STPCh. 8.5 - Prob. 65STPCh. 8.5 - Prob. 66STPCh. 8.5 - Prob. 68SRCh. 8.5 - Prob. 69SRCh. 8.5 - Prob. 70SRCh. 8.5 - Prob. 71SRCh. 8.5 - Prob. 72SRCh. 8.5 - Prob. 73SRCh. 8.5 - Prob. 75SRCh. 8.5 - Prob. 76SRCh. 8.5 - Prob. 77SRCh. 8.5 - Prob. 78SRCh. 8.5 - Prob. 79SRCh. 8.5 - Prob. 80SRCh. 8.5 - Prob. 1ACYPCh. 8.5 - Prob. 1BCYPCh. 8.5 - Prob. 1CCYPCh. 8.5 - Prob. 1DCYPCh. 8.5 - Prob. 2ACYPCh. 8.5 - Prob. 2BCYPCh. 8.5 - Prob. 2CCYPCh. 8.5 - Prob. 2DCYPCh. 8.5 - Prob. 3ACYPCh. 8.5 - Prob. 3BCYPCh. 8.5 - Prob. 3CCYPCh. 8.5 - Prob. 3DCYPCh. 8.5 - Prob. 4CYPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4CYUCh. 8.5 - Prob. 5CYUCh. 8.5 - Prob. 6CYUCh. 8.5 - Prob. 7CYUCh. 8.5 - Prob. 8CYUCh. 8.5 - 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- C Clever | Portal x ALEKS - Marisa Haskins - Le Marisa Haskins - Essay Temp x Earth and Space 2 Desmos | Graphing Calculator x cwww-awy.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3JH-IQ2_KWXW3dyps2nJxZ_kvzXfsB26H8ZG13mFzq9lmGAYN JJOEyt0CsUr4AMXmcIVNqw-dNsEi_PzyC7v ◇ Exponents and Exponential Functions Finding the final amount in a word problem on compound interest 0/5 Ma John deposited $4000 into an account with 4.6% interest, compounded annually. Assuming that no withdrawals are made, how much will he have in the account after 7 years? Do not round any intermediate computations, and round your answer to the nearest cent. $0 Explanation Check 1 ! 12 Q W # 3 品: S חח E $ SA 4 4 a R 5775 % e MacBook Air ৫ Di F6 DD ©2025 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessi 8 * ∞ & 27 Λ <6 T Y U DII DD FB 8° - A 1 2 小 F10 F11 ) ) 9 0 יו 0 P {arrow_forwardfor B in question 2, the inner product Is the picture given alonearrow_forward2. Assume that ƒ: R100 R² is linear and that for certain u, ER100 f(u) = - (4) and ƒ(v) = (2). Explicitly compute with work the following: (a). (b) (c) f(u+v) f(100) Assume that W is a vector space and g,h: W → R are both linear maps. Show that the function k : W→ R², k(w) = (()) is linear.arrow_forward
- 6 5 4 3 T 2 له 1- 1 -10-9 -8 -7 -6 -4 -3 -2 -1 0 2 3 4 5 -1- -2 -3 -4 -5. -8 -9. Which system is represented in the graph? Oy > x²+4x-5 y>x+5 Oy x²+4x-5 yarrow_forwardThe functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph. + N y 10 LO 5 f(x) = x² - 3 4 ♡ -3 -2 -10 -1 -2 -4- -5 x 2 3 4 56 7 8 9 g(x) = x² + 2 If the equations were changed to the inequalities shown, explain how the graph would change. y≤ x² - 3 y>-x²+2arrow_forwardThe function f(x) is shown in the graph. 2 1 y -1 0 1 2 3 4 5 -1- -3. f(x) -4 -5 -6. Which type of function describes f(x)? ○ Exponential O Logarithmic ○ Rational O Polynomial .co. 6 7arrow_forwardThe functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5 are given.Part A: What type of functions are f(x) and g(x)? Justify your answer.Part B: Find the domain and range for f(x) and g(x). Then compare the domains and compare the ranges of the functions.arrow_forwarda) IS AU B is independence linear Show that A and B also independence linear or hot and why, write. Example. 6) 18 M., M2 X and dim(x)=n and dim M, dim M₂7 Show that Mi M₂+ {0} and why? c) let M Me X and {X.,... xr} is beas of M, and {y,, ., un} is beas of M₂ and {x, xr, Menyuzis beas of X Show that X = M₁ M2 d) 15 M₁ = {(x, y, z, w) | x+y=0, Z=2W} CR" M₂ = (X, Y, Z, W)/x+Y+Z=0}arrow_forwardThe function f(x) is shown on the graph. ာ 2 3 2 f(x) 1 0 -1 -2 1 -3 -4 -5 2 3 4t Which type of function describes f(x)? Exponential O Logarithmic O Polynomial ○ Rationalarrow_forward1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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