Find the partial fraction decomposition of the improper rational expression (6x^(2)+12x-177)/(x^(2)+x-30)

Step-by-step explanation:

From the question we are told that:

Partial fraction is given as

Factorized

Generally the equation for Partial Fraction is mathematically given by

Therefore

Since denominators are equal

Collecting Coefficients respectively

Therefore

A=3

B=3

Hence, Partial fraction decomposition is

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".