suppose that a polynomial contains four terms explain how to use factoring by grouping to factor the polynomial

Factoring by grouping effectively breaks down the polynomial into easy-to-solve smaller polynomials. The goal is to isolate each term in a separate group and then add them together to finally get the original polynomial.

Step-by-step explanation:

The first thing we'll do is look for two numbers that multiply together to give -9. These will be our "groupings". Once we find these, we'll start grouping other terms in an alternating fashion until we can't break any more of the terms apart.

We find 2 and 3 which when multiplied give -6, so these are our groupings for this problem:  

2x3(-9)=-18 + 5x(-9)=-45 + 4

a four term  polynomial is factored by groupingsuppose that a polynomial contains four terms explain how to use factoring by grouping to factor the polynomial

Step-by-step explanation:

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: