Question

If p(x) = x 2 + 7x + 3 is divided by x + 4, the remainder is a0

Answer 1

The remainder is -9

Explanation:

Given the polynomial
`p(x)=x^2+7x+3` is divided by
`(x+4)`

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
`a_0=-9`