24x2
The GCF is 24x2
2(363+48)2(401)802
9x6=54 54-6=48 48x2=96 96 is your answer.
96= 48x2 48= 24x2 24= 12x2 12= 6x2 6= 3x2 Thus 96= 2x2x2x2x3
Without knowing the plus or minus values of the given terms then it can't be considered to be a quadratic expression.
48x2+139+63 = (3x+7)(16x+9) when factored and worked out with the help of the quadratic equation formula
Assuming you mean y=2x(24x-100)=48x2-200xThe vertex is the coordinate (p,q) when a function of a form y=ax2+bx+c is arranged into the form y=a(x-p)2+q.Divide y by the coeifficient of the x2 term, 48. y = x2-(25/6)xx2-ax = (x-a/2)2-a2/4.So y = [x-(25/6)/2]2-(625/36)/4 = [x-25/12]2-625/144y is now in the form y=a(x+p)2+q, so the vertex of 48x2-200x is (25/12, -625/144)
There are infinitely many ways to continue the pattern but I am not sure any of them actually finishes it. The simplest, linear rule is Un = 28 - 4*n for n = 1, 2, 3, ... but that does not "finish" it since it goes on forever. Or, you could fit the cubic: Un = (8x3 - 48x2 + 76x + 36)/3 for n = 1, 2, 3, ... but that also does not "finish" it.