Common factors of polynomial-2x ^ 3 + 4x ^ 2-6x

Common factors of polynomial-2x ^ 3 + 4x ^ 2-6x

Original = - 2x (X & # 178; - 2x + 3)

Point P is in the fourth quadrant of the line determined by B (0, - 2), C (4,0), and the ordinate is - 1. Point q is on the image of y = 3 / X. if PQ / / Y axis is used to calculate the position of Q

From B (0, - 2), C (4,0) to determine the function expression of the straight line BC, y = KX + B is substituted into y = 1 / 2 X-2, and the ordinate of the point P is - 1 is substituted into the function expression of the straight line BC to obtain the coordinates of the point P (2, - 1)
PQ / / Y axis, that is, the abscissa of P and Q are the same, both of which are 2, because point Q substitutes x = 2 into y = 3 / X in the image of y = 3 / X to get y = 1.5
So the coordinates of Q are (2,1.5)

It is known that the minimum positive period of the function f (x) = x * sin (2wx + π / 6) + X / 2 + B (x belongs to R, w > 0) is π
The maximum value of F (x) is 7 / 4 and the minimum value is 3 / 4,
1. Find the value of W, a, B
2. Point out the monotone increasing interval of F (x)
A * sin (2wx + π / 6) + A / 2 + B (x belongs to R, a > 0, w > 0)

1,
f（x）=a* sin（2wx+π/6）+a/2+b
Then the minimum positive period is t = 2 π / 2W = π / w = π, w = 1,
That is, f (x) = a * sin (2x + π / 6) + A / 2 + B,
The maximum value of F (x) is 7 / 4, the minimum value is 3 / 4, the difference is 2A = 1,
We get a = 1 / 2,
f（x）=1/2* sin（2x+π/6）+1/4+b
If f (x) max = 1 / 2 + 1 / 4 + B = 7 / 4, B = 1;
2,
f（x）=1/2* sin（2x+π/6）+5/4
The monotone increasing interval of F (x) is the monotone increasing interval of sin (2x + π / 6),
-π/2+2kπ≤2x+π/6≤π/2+2kπ
-2π/3+2kπ≤2x≤π/3+2kπ
-π/3+kπ≤x≤π/6+kπ
The monotone increasing interval is [- π / 3 + K π, π / 6 + K π]

Given that the intercept of the line L on the y-axis is - 3, and the length of the line segment cut by the two coordinate axes is 5, then the equation of the line is?

There are two solutions,
One of them is (0. - 3) and the other can be (4,0) or (- 4,0)
Let y = KX + B pass (0, - 3) (4,0)
B = - 3 K = - 3 / 4 or
Over (0, - 3) (- 4,0)
b=-3 k=3/4
So y = - 3 / 4x-3 or y = 3 / 4x-3

142 + 58 × 40 (by simple method)

142+58×40
=142+(50+8)×40
=142+50×40+8×40
=142+2000+320
=2462

In the rectangular coordinate system as shown in the figure, O is the origin, the line y = - 12x + m intersects the X axis and Y axis at two points a and B respectively, and the coordinates of point B are (0, 8). (1) find the value of M; (2) let the line OP intersect the line AB at point P, and s △ AOPs △ BOP = 13, try to find the coordinates of point P

(1) When the line y = - 12x + m intersects the y-axis at point B, the coordinates of point B are (0,8) ∧ M = 8 (2) ∧ s △ AOPs △ BOP = 13, ∧ APBP = 13, passing through point P as PC ⊥ OA and perpendicular foot as point C, then acoc = APBP = 13 ∧ the line y = - 12x + 8 intersects the x-axis at point a, the coordinates of point a are (16,0) ∧ OA = 16 ∧ OC = 16

Given the quadratic function f (x) = AX2 + BX + C (a, B, C ∈ R), let an = f (n + 3) - f (n), n ∈ n *, and the sum of the first n terms of the sequence {an} is Sn monotonically increasing, then the following inequality always holds ()
A. f（3）＞f（1）B. f（4）＞f（1）C. f（5）＞f（1）D. f（6）＞f（1）

∵ quadratic function f (x) = AX2 + BX + C (a, B, C ∈ R), an = f (n + 3) - f (n), ∵ an = [a (n + 3) 2 + B (n + 3) + C] − [an2 + BN + C] = 6An + 9A + 3b, ∵ sequence {an} is an arithmetic sequence. In order to increase the sum of the first n terms, the tolerance must be greater than 0 and positive from the second term. From A2 = 21a + 3B > 0, 7a + b > 0, ∵ f (6) - f (1) = 5 (7a + b) > 0, ∵ f (6) > 0 F (1) is always established

In vacuum, the interaction force between the point charge Q and P is 6 * 10 to the - 4th power
In vacuum, the interaction force between the point charge Q and P is 6 * 10 to the - 4th power n. It is known that the electric field strength at the charge q is 3.0 * 10 to the 5th power n / C, and the charge quantity of the point charge q is calculated. The charge quantity of the charge P is 2 * 10 to the - 9th power c. what is the electric field strength at the charge p?

The electric field strength at the fourth power n / charge Q of interaction force 6 * 10 is the fifth power n / C of 3.0 * 10 = the charge quantity of point charge Q
The fourth power of the interaction force 6 * 10 N / the charge quantity of the charge P, the ninth power of the interaction force 2 * 10 C = the electric field strength of the charge P

Given the proposition p: "for ∀ x ∈ R, ∃ m ∈ R, let 4x-2x + 1 + M = 0", if the proposition p is false, then the value range of real number m is______ ．

Proposition p is a false proposition, that is, the life problem P is a true proposition, that is, the equation 4x-2x + 1 + M = 0 about X has a real number solution, M = - (4x-2x + 1) = - (2x-1) 2 + 1, so m ≤ 1, so the answer is m ≤ 1

Fill - 1,2, - 3,4, - 5,6, - 7,8, - 9 in the box below, so that the three numbers of each diagonal in each row and column satisfy the sum of negative product and absolute value
The sum phase of absolute value is followed by equal, the graph is horizontal three grid, vertical three grid, a total of nine spaces

8 -3 4
-1 -5 -9
6 -7 2