104
47
I'm having some trouble understanding exactly what 'm' and 'x' have to do with the rectangle. A look at the drawing would really help.
Since stuv is a rectangle, opposite angles are equal. Given that angle vsu measures 52 degrees, angle stv, which is adjacent to angle vsu, must also be 52 degrees. Therefore, angle uvs, the opposite angle, is also 52 degrees. Thus, the value of x, which represents angle vsu, is 52 degrees.
Points S and V
i think 2
There is no simple way. A polynomial of the form f(x) = ax4 + bx3 + cx2 + dx + e may have four real factors: it may have none. Binomial factors will be of the form px + q, where p is one of the factors of a and q is one of the factors of e. In general, p and q can be positive or negative. That gives a very large number of possible binomial factors of the polynomial. Evaluate f(x) for x = -q/p, that is, substitute x = -q/p in the polynomial and calculate its value. If f(-q/p) = 0 then (x + q/p) = (px + q) is a factor. It may be possible to find the zeros of the quadratic by numerical or graphical methods. If x = z if a root then (x + z) is a factor. If the four factors are (x - s), (x - t), (x - u) and (x - v) then s+t+u+v = b/a st +su+ sv + tu + tv +uv = c/a stu + stv + suv + tuv = d/a and stuv = e/a One option is to solve these equations simultaneously for s, t, u and v.