x2 + 11x + 18
(x + 9)(x + 2)
CHECK:
x2 + 9x + 2x + 18
x2 + 11x + 18
SET EACH EQUAL TO ZERO:
x + 9 = 0
x = -9
x + 2 = 0
x = -2
NOW YOU ARE DONE:
Solution set: {-9, -2}
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x2 -11x-12= (x-12)(x+1)
It doesn't factor evenly if it were x**2-11x+10: x**2-11x+10 = (x-1)(x-10)
I assume you mean...,X2 + 11X + 10(X + 1)(X + 10)==============factored
x2 + 11x + 24 You want the equation to be in the form (x + a)(x + b), where the two solutions are -a and -b.You know that...ab = 24...and...a + b = 11Note that 8 times 3 is 24, and 8 plus 3 is 11.x2 + 11x + 24 = (x + 3)(x + 8)The two answers are x = -3 and x = -8.
The LCM is the absolute value of x.