use the quadratic formula since there isn't a factor of 60 that when added together equals 19
The above answer is wrong because 4 and 15 are such numbers.
x2 + 19x + 60 = x2 + 4x + 15x + 60 = x(x + 4) + 15(x + 4) = (x + 4)(x + 15)
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x2 + 4x - 60 factors into (x + 10)(x - 6). You can use the FOIL method to check your answers when you factor.
x2 - 19x + 60 = x2 - 15x - 4x + 60 = x(x - 15) - 4(x - 15) = (x - 15)(x - 4)
Find two integers such that they add up of 19 and multiply altogether to get -60. We can't determine these values with these conditions since: xy = -60 x + y = 19 y = -60/x x - 60/x = 19 x² - 60 = 19x x² - 19x = 60 x² - 19x + (-19/2)² = 60 + (-19/2)² (x - 19/2)² = 601/4 Since 601/4 is not the perfect square term, there are no factors of 6n² + 19n - 10.
3x2 + 27x +60
60+60+60+60+60+60+60+60 =480 All the addition can happen in the same step. This is the same as 60*8.