2x2 - 72 would be factored into (2x - 12)(x + 6) or (2x + 12)(x - 6)
To double check, multiply each pair:
(2x - 12)(x + 6) = 2x2 + 12x - 12x - 72 = 2x2 - 72
(2x + 12)(x - 6) = 2x2 - 12x + 12 x - 72 = 2x2 - 72
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2x2 + 6x - 8 = 72 ∴ 2x2 + 6x + 64 =0 ∴ x2 + 3x + 32 = 0 This can not be factored, as x is not equal to any integer. Using the quadratic equation, we find that: x = -3/2 ± √119 / 2i
2*36=72
No. 9 is a factor of 72.
The highest common factor of the numbers 36, 60 and 72 is 12.
nine