In the following pair of polynomials, the second polynomial is a factor of the first. factor completely x^3+3x^2-18x , x-4

The required factors are: x, (x + 6) and (x - 3).

Step-by-step explanation:

As per the question,

The given polynomial is:

Now,

BY factorization, we get

By splitting the mid-term, that is split 3x like:

3x = 6x - 3x

Therefore,

Now on further solving by taking common factor out, we get

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial .

Hence, the given polynomial has three factor x, (x + 6) and (x - 3).

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

f is the midpoint of