Given 5x3+8x2−7x−6. 1) the binomial (x+2) is a factor of the polynomial expression. describe how you know it is a factor. 2) the binomial (x+1) is not a factor of the polynomial expression. explain how you know it is not a factor.

ANSWER TO QUESTION 1

Given

We can use the factor theorem to determine if

is a factor of the polynomial or not.

According to this theorem, if is a factor of , then .

How did we get the ?

We set and then solve to obtain .

So now let us plug in in to the function to see if it will simplify to zero.

Since the result simplifies to zero, we conclude that

is a factor of

ANSWER TO QUESTION 2

We have the function,

We can use the remainder theorem to show that

is NOT a factor of the polynomial.

According to this theorem, if is not a factor of , then .

So now let us plug in in to the function to see if it will simplify to non-zero number.

Since the result simplifies to a non zero number, we conclude that

is NOT a factor of

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column