100 points for correct answer

Step-by-step explanation:

Let the argumented matrix:

[ 3-1 +9]

[ 2+1 -4]

We solve the matrix by Gauss- Jordan Eleminating:

Let denote the above matrix like A.

Let the denote the row by 1 by R1 =[3 -1 | +9]

And let denote rhe row 2 by R2= [ 2 +1 | -4]

So, we will apply the elementary operations per row

First operation: R2=3 R2, then [-3 -9| 9]

[ 6 3| -72]

Second operation: R2 = R2/ 2

[ 3 -7| 9]

[ 3 3/2 | -6]

Now, R2 = R2 - R1

[3 -7| 9 ]

[0 5/2 | -15]

R2=R2÷(5/2), That is :

R1=R1/3

R1=R1+( 1/3) R2

That Is : + (1/3) R2

That is :

[1 0| 1]

[ 0 1| -6]

So the above- argumented matrix is equivalent to the following linear system of equations:

1x +0 y =1

0x+1y= -6

That is

x=1

y= -6

One solution for the matrix A is (1, -6)

The correct solution will be ( 1, -5)

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

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step-by-step explanation:

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