what is the meaning of a "factor" and "to factor"?
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A mathematical term, a "factor" is a component that goes into making a number.  FOr instance 2 x 2 = 4, 2 is a factor of 4.  "To facotr" means to reduce a number into all its component factors.
1002101
factor 9x^2y^2-9y^2\n9y^2(x^2-1)\n9y^2(x+1)(x-1)
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T,\n\nThere are too many factors to answer this without detail.
46670
Factor trees are the way to go. Start with any composite number on the top of the page. Then think of any two factors of that number, then draw two branches downward from the first number to the two factors you determined. Then if either of the two numbers you chose are composite, find two factors of that number and draw two branches downward to the next level of factors. Keep doing this until the final row of numbers you get is all prime. Any prime factors that are repeated can be expressed with exponents.\n\nFor example, take the number 90:\nTwo factors of 90 are 9 and 10 (you can choose others if you wish).\nDraw two branches down from 90 to 9 and 10.\nBoth 9 and 10 are composites, so find factors for each of those. Factors of 9 are 3 and 3; factors of 10 are 5 and 2. Now our last line of prime factors is 3 x 3 x 5 x 2 or 3^2 x 5 x 2 (using exponents). And, BAM, there's our answer!\n\nVery crudely, your factor tree should look something like this (drawn without the branches):\n\n  90\n 10 9\n5 2 3 3
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if you are asking for the factors,it is\n(x-15y)*(x+15y)
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A scale factor is a ratio of one length on some geometric figure compared to another lenth on a congruent geometric figure.\nFor instance:\nYou have squareA with length of side 4 and squareB with a length of side 8. The ratio or scale factor from squareB to squareA is 2. The scale factor from squareA to squareB is 1/2 or .5.
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The factors of 9 are 1, 3 and 9.  The factors of 25 are 1, 5, and 25.  The factors of 49 are 1, 7, and 49.  The only common factor is 1.
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in a multiplication problem:\n\n2 x 3 = 6\n\n2 & 3 are factors, 6 is the product
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possible rational factors are p/q where, p is factors of the constant and q is factors of the leading coefficient.\np = 15 and q = 2\nfactors of p: 1, 3, 5, 15\nfactors of q: 1,2\nPossible p/q = (plus or minus) 1, 3, 5, 15, 1/2, 3/2, 5/2, and 15/2\nKeep picking one of these values and test it until you get a remainder of 0.\n1 works\n1 2 3 -11 -9 15\n ___ 2  5  -6 -15\n__2 5 -6 -15 0\nThus,\n2x^4 + 3x^3 - 11x^2 - 9x + 15 \n= (x-1)(2x^3 + 5x^2 - 6x -15)\n2x^3 + 5x^2 - 6x -15 can be factored by grouping.\n(2x^3 + 5x^2) + (- 6x -15)\n= x^2(2x+5) -3(2x+5)\n= (x^2-3)(2x+5)\nAnswer: (x-1)(x^2-3)(2x+5)
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This is a quadratic equation hence there are two factors.\n\nFirst factorise the equation: (3x-1)(2x-3)=0\nThen each factor = 0\nHence x=1/3 (from the first factor)\nand x=3/2 (from the second factor)\n\nyou can recheck this by substituting these two values in the original equation and it shoudl add up to zero.\n\nThe factors are basically points on the curve that cut the x axis (where y=0)
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Prime factorization is basically simplifying a number into its prime factors.  A numerical example would help.\n\nHere's how you would simplify 100 into a prime factorization:\n\n100 = \n4*25 (these aren't prime numbers yet, thus factor again)\n2*2*5*5\n\nSince 2 and 5 are prime numbers, this is the prime factorization.  \n\n----------\n\nHope this helps
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It refers to multiplication.\n\nFor example, the product of 4 and 3 is the same as saying 4 multiplied by 3, and the answer of course is 12.
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Hey j-papa   I can only think of 1\n\nFERRY\n\nI could think of the word TRANSFER with fer at the end.\n\nGood luck with ur homework!!
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This can be proven by exhausing all the possibilities.  A prime number is defined as a number whose only factors are 1 and itself.  For the number 3, we need only check 1 number (the number 2), as 1 and 3 are already factors.  Dividing 2 into 3, we quickly find that the answer is 1.5, which shows that 2 is not a factor.  Therefore, the only factors of 3 are 1 and 3, which, according to the definition of a prime number, means that 3 is prime.
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#1.)-----------------------------------\n  \n25b^ -20by + 4y^\n\nMultiply 1st and 3rd term together to get 100b^y^.\n\nFactor 100b^y^ into two factors whose sum = the middle term of -20by.\n\n1by   X 100by\n2by   X 50by\n4by   X 25by\n5by   X 20by\n10by X 10 by   ....................BINGO!\n\n-10by + (-10by) = - 20by   &   (-10by)(-10by) = 100by\n\nThis is a really kewl factor by grouping trick, I LOVE it!\n\nBring down the first term of: (25b^)\n\nNext, write the SMALLER of the two factors 1st.  Followed by the LARGER of the two factors.  In this case, they're both the same, so it doesn't matter which one goes first: (-10by)\n\nFinally, bring down the third term of: (+4y^)\n\n25b^ -10by -10by + 4y^\n\nNow, lets factor by grouping! \nFactor out the GCFs.\nGCF#1 = 5b\nGCF#2 = -2y\n\n(25b^ -10by) + (-10by +4y^)\n5b(5b - 2y) -2y(5b - 2y)\n\nGCF#3 = (5b - 2y)\n\n(5b - 2y)(5b - 2y)\n\nSimplifies further as: (5b - 2y)^   ....Whatdayaknow?! \n.......................................................................................................It's a Perfect Square Trinomial.\n\n#2.)------------------------------------------------------------------\n\n100 - 9b^\n\nAh, the difference of two perfect squares.\n\n---------------------------------------------\n\nFORMULA:\na^ - b^ = (a-b)(a+b)\n\n---------------------------------\n\nSOLUTION:\n100 - 9b^\n(10)^ - (3b)^\n\n-----------------------\n\nANSWER:\n(10-3b)(10+3b)
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{(x^2+5x+4)/(x+3)^2}/(x+1/(x^2 -9))\nFactor everything that you can factor.\nx^2 + 5x + 4 = (x+1)(x+4)\nx^2 - 9 = (x+3)(x-3)\nYou have\n{(x+1)(x+4)/(x+3)^2} * {(x+3)(x-3)/(x+1)}\nYou can cancel the (x+3)'s and the (x+1)'s leaving you with\n(x+4)(x-3)/(x+3)
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Factor labeling is used to change from one unit to another by multiplying the original by one or more fractions with equivalent measures on top and bottom, such as 1 ft / 12 in\n\nHere is an example: change 3 days to minutes\n\n3 days times (24 hr/1 day) times (60 min/1 hr)\n\nEach thing in () is two equal measures, just in different units.\n\nDays cancels out, as does hours, to leave 3x24x60 minutes