Write out all the quartic monomials whose coefficients are half and contain the letters X and m without other letters I said one just now, but I didn't have three. I cheated my five points

Write out all the quartic monomials whose coefficients are half and contain the letters X and m without other letters I said one just now, but I didn't have three. I cheated my five points

1/2X^3M
1/2X^2M^2
1/2XM^3

If one of the roots of the quadratic equation 5x + MX-1 = 0 is in the interval (- 1,0) and the other is in the interval (1,2), the value range of M can be obtained

f(x)=5x^2+mx-1
If one of the roots of the quadratic equation 5x + MX-1 = 0 is in the interval (- 1,0) and the other is in the interval (1,2)
From the image of quadratic function, we can see that f (0) is different from F (- 1), and f (1) is different from F (2)
f(-1)*f(0)

Quadratic equation: MX ^ 2 + (2m-3) x + 4 = 0 has only one root, and this root is less than 1, find the value range of M

M = 0, obviously there is only one root, x = 4 / 3 > 1, which is inconsistent with the condition
So m is not equal to 0
So, obviously, the equation has to have multiple roots
(2m-3)^2-4*m*4=0
4m^2-28m+9=0
M = (7 / 2) + (root 10), or M = (7 / 2) - (root 10)
Obviously, both values of M are greater than 0
And: X1 = x2
x1+x2=(3-2m)/m