Question

What must be added to f(x)5x4+6x3-13x2-44x+7 so that the resulting poly. is exactly divisible by the poly.x2+4x+3?

Answer 1

In order to find What must be added to f(x)5x4+6x3-13x2-44x+7 so that the resulting poly. is exactly divisible by the poly.x2+4x+3? 


Firstly you have to divide f(x) by x2+4x+3. after dividing you can see you'll get a remainder.

Now, you have to subtract the remainder from x2+4x+3 and then whatever you get it is the answer,  adding it to f(x) will make it divisible by x2+4x+3.


I've attached the image for reference.


You can consider this small example 15 / 4. The remainder is 3. Now subtract 3 from 4, you'll get 1. Now add 1 to 15 you'll get 16 which is divisible by 4. Similar is the concept for the polynomial.

Answer 2

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Geekydude121

Geekydude121Samaritan

In order to find What must be added to f(x)5x4+6x3-13x2-44x+7 so that the resulting poly. is exactly divisible by the poly.x2+4x+3?

Firstly you have to divide f(x) by x2+4x+3. after dividing you can see you'll get a remainder.

Now, you have to subtract the remainder from x2+4x+3 and then whatever you get it is the answer, adding it to f(x) will make it divisible by x2+4x+3.

I've attached the image for reference.

You can consider this small example 15 / 4. The remainder is 3. Now subtract 3 from 4, you'll get 1. Now add 1 to 15 you'll get 16 which is divisible by 4. Similar is the concept for the polynomial.