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Lena [83]
3 years ago
11

A student used synthetic division to divide x^3-3x^2-2x by x+1

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

The Synthetic Division and Remainder theorem is as shown below

Step-by-step explanation:

Given:

Polynomial x^{3} -3x^{2} -2x divided by x+1

Solution:

For Synthetic Division we need to have coefficients,

So  the coefficients are

1, -3, 2, 0

and we have x+1

∴    -1   <u>1   -3  2   0      </u>

           <u>    -1   4   -6      </u>

           1   -4  6  -6

Now the remainder is -6  by synthetic division

In Remainder theorem substitute x=-1 in the polynomial we will get the required remainder.

(-1)^{3} -3(-1)^{2} -2(-1)

∴ = -1 -3-2

∴ = -6

which is same as in synthetic division.

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