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
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
2(x + 6)(x - 6) 2x^2 - 72 = 0 2x^2 = 72 x^2 = 36 x = 6, -6
-9(x + 8)
2(5r + 6)(5r - 6)
22 x 52 x 72 = 702
2x^(2) + 72 Factors to 2( x^(2) + 36) s(x^(2) + 6^(2)) Does NOT factor. NB Remember . two squared terms with a positive(+) between them does NOT factor!!!! However, two squared terms with a negative(-) between DOES factor . e.g. x^(2) + 6^(2) Does NOT factor x^(2) - 6^(2) factors to ( x - 6)( x + 6 ) Note the different signs. Similarly 8^(2) + 6^(2) does NOT factor 8^(2) - 6^(2) factors to (8 - 6)(8 + 6) Or using the ~Pythagorean Equation. h^(2) = a^(2) + b^(2) Does NOT factors However, a^(2) = h^(2) - b^(2) factors to a^(2) = (h - b)(h + b) .
(7x + 8)(7x - 9)
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
722 = 72 x 72 = 5184
a2 - a - 72 = (a - 9)(a + 8)
5x-72
Similar factors for 24 and 72 are: 1,2,3,4,6,8,12,24 Greatest common factor then would be 24