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  • Now if we are subtracting we will do this, (4x-7)-(8x-5), first instead of going right to the like terms we have to make the 8x negative and since -5 would be double negative it would just be 5, so then we just combine the like terms to get -4x-2.
  • Now we are going to multiply, the problem is (4x-7) (8x-5) and we are doing the Foil method. FIrst, we have to distribute from the terms from the first parenthesis to the term in the second parenthesis and then once you get those numbers then you have to add and subtract. You will get 32^2x-76x+35.
  • Now we are going to factor 4x2 + 12x + 5. You would multiply 4 and 5 to get 20 by the AC method. You then get the factors of 20 and use the one that adds up to 12 which would be 10 and 2. Then you would factor to get the answer of (2x + 5)(2x + 1)
  • Now were are going to solve the problem 12x5 – 18x3 – 3x2 using greatest common factor. First off we will, Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Then we will Factor out (or divide out) the greatest common factor from each term. This gives us the gcf of 3x2. Then the final answer is 3x2(4x3-6x-1).
  • For our next problem we will try to solve the problem x2-36. Our first step to finding the solution of this problem is to decide if the four terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help. But to factor this problem into the form (a + b)(a – b), you need to determine what squared will equal x2 and what squared will equal 36. In this case the choices are x and 6 because (x)(x) = x2 and (6)(6) = 36. This gives us (x+6)(x-6) or (x-6)(x+6). Our last step is to determine if any of the remaining factors can be factored further. In this case they can not so the final answer is (x+6)(x-6) or (x-6)(x+6)
  • Now we are going to factor  6x² -11x +4. Here we use the AC method to get 24. Now you find the factors of 24 that would add up to -11. This answer would be -8 and -3. The equation then becomes (6x^2 -8x)   (-3x+4). Now you factor the equation to get the answer of (2x-1) (3x-4). And that is it for me everyone, keep learning Polyman Out!!
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