First we have to find the slope of the given line. We do that by puttiing the equation into slope-interept form. or solving it for y (same thing). 2x + 4y = -6. We move the 2x over by subtraction to get 4y = -2x - 6. Divide both sides by 4 to get the slope-intercept form we are seeking.
. The slope that is perpendicular to that slope of -1/2 is the opposite reciprocal. Therefore, the perpendicular slope is a positive 2/1 or just 2. If this new line goes through the point (2, 5), it goes through the x value of 2 and the y value of 5. We will use those values along with the slope of 2 to solve for b in our slope-intercept equation. That looks like this:
and b = 1. That means our new equation, the one that is perpendicular to the given line, has an equation of y = 2x + 1.
Answer:
The answer is (2x+3)(5x+2)
I believe you would solve for X like: 3x-10=2x-10.
Given:
The function is,

Use the synthetic division,
The rational roots are of the form,

As, the constant term is -10, its factors are

These are the possible values of p.
Also, the leading coefficient is 1. its factors are

These are the values of q.
From the above synthetic division, the actual rational roots are,

Answer: rational roots are -2, 1
The < and > signs mean the open part of < or > is bigger part