Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)

-26x^2 + 56x -15

Step-by-step explanation:

3x(-2x + 7) - 5(x -1) (4x -3)

-6x^2 + 21x - (5x + 5)(4x-3)

-6x^2 + 21x -20x^2 +15x + 20x -15

= -26x^2 + 56x -15

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb