4u2 - 6u - 39 does not have rational factors.
3a squared b squared
9 x 9 = 81 9 squared = 81 3 squared times 3 squared = 81
I'm presuming its factors for a monic quadratic trinomial--of form : X squared + BX + C . You need the numbers that MULTIPLY to give C and ADD up to give B Eg X squared + 8X + 12 factors to ( X+2) (X + 6 ) BUT X squared + 7X + 12 factors to (X +3 )(X + 4) Hope this helps. Phil.
Any prime number to the 5th power squared has 11 factors, like 1024 or 59049.
5(x + 3)(x + 1)
4u -> for you
4u-12 = -8
16u3 + 84u2 + 80u factors to 4u(4u + 5)(u + 4)
The prime factors of a squared number are the prime factors, if any, of its square root.
The prime factors of 21 are 3 x 7, so the prime factors of 21 squared are 32 x 72. The factors of 21 squared are 1, 3, 7, 9, 21, 49, 63, 147, and 441.
3a squared b squared
Question for you
It factors squared are: 7 times 7 = 49
There are no rational factors.
9 x 9 = 81 9 squared = 81 3 squared times 3 squared = 81
What is the root-mean-squared speed of the helium atom in one mole of an ideal gas at a pressure of 2.00 atmospheres and a temperature of 30 degrees C?
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