Respuesta :

Answer:

The remainder is -9

Step-by-step explanation:

Given the polynomial [tex]p(x)=x^2+7x+3[/tex] is divided by [tex](x+4)[/tex]

we have to find the remainder.

Step 1: Set up the synthetic division.

The dividend goes on the inside of the box.

Step 2:  Bring down the leading coefficient to the bottom row.

Step 3:  Multiply c i.e 2 by the value just written on the bottom row.

Step 4:  Add the column created in step 3 and  write the sum in the bottom row.

Repeat steps 1-4 until the last column.

From the last row the remainder becomes -9

i.e [tex]a_0=-9[/tex]

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