12x ^2 -32x-12
3(3z + 4)
The GCF is 12.
(x + 3)(x + 4)
(x + 12)(x + 7)
(3x - 4)(4x - 3)
12x ^2 -32x-12
-x3 -10x2 + 24x 1) -x can be factored out to give, -x(x2 + 10x - 24) 2) The bracketed expression can be factored as (x + 12)(x - 2), which now gives, -x(x + 12)(x - 2) = -x3 -10x2 + 24x
x2 + 24x +180 = 0 By using the quadratic equation, you can find that x = -12 + 6i or x = -12 - 6i
(x^2) + 24x + 144 = -9 x = -12
It is: 12(2x+3) when factored
Im assuming you mean x2 (x squared). This equation will be a quadratic. so... x2+144=-24x subtract -24x from itself and the other side -24x -24x ----------------- x2-24x+144=0 now break it down even further (x-12)(x-12)=0 Now you solve the "mini-equations" x-12=0 x-12=0 +12 +12 +12 +12 --------------------------- x=12 or x=12 hope it helps!!!
-12 +/- sq root 104
(3x-12)(x-4)
x4 + 7x2 - 60 = x4 + 12x2 - 5x2 - 60 = x2(x2 + 12) - 5(x2 +12) = (x2 - 5)(x2 +12)
26
X^2 + 24X = 50 you halve the linear term, square it and add it to both sides X^2 + 24X + 144 = 50 + 144 factor the left side; gather terms on the right (X + 12)^2 = 194 (X + 12)^2 - 194 = 0 so, either 144 is your number, or 194 is. Sounds as a silly question to me as you complete the square to get the vertex of the polynomial. Which is; (12,- 194) = wrong!! Woops! Wrong! Made fudemental mistake! [ (- 12 + 12 ) = 0!! ] So, the vertex is; (- 12, - 194 )