Since x3 is a factor of x5, it is automatically the GCF.
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The GCF is x5
x5-1 = (x - 1)(x4 + x3 + x2 + 1)
To find the GCF of any set of numbers. Divide the numbers by their prime number factors, and see which is common to each number in the set. Hence 160,240 & 200. 160 = 2x2x2x2'x2'x5 200 = 2x2x2x5'x5 240 = 2x2x2x2'x3'x5 So each number has 2x2x2x5 (common to all three numbers) 2x2x2x5 = 40 The GCF. NB THe other factors are discrete to the given number. So for 200 the second '5' is discrete to 200 and so is not common to all the other numbers. I have written the discrete numbers as (2') etc.,
GCF of variables with exponents The GCF is the common variable with smallest exponent. example 9x4 - 27x6 the gcf is 9X4 because: 9x4 (1-3x2) = 9x4 - 27x6 In the same way: X5 is the GCF of X10 + x5 -x6 Because X5 ( X5 + 1 -x1) = X10 + x5 -x6 Remember the exponent rule if you are multiplyin the same base, you keep the base and add the exponents Hope this helps Btw this does not help me! anna
x times x times x times x times x