Math, asked by mbanjara64, 9 months ago

how to do divide with remainder therom​

Answers

Answered by Ferrari2248
0

Answer:

That is, when you divide by "x – a", your remainder will just be some number. The Remainder Theorem then points out the connection between division and multiplication. For instance, since 12 ÷ 3 = 4, then 4 × 3 = 12. If you get a remainder, you do the multiplication and then add the remainder back in.

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Answered by Chandra1972
0

Step-by-step explanation:

That is, when you divide by "x – a", your remainder will just be some number. The Remainder Theorem then points out the connection between division and multiplication. For instance, since 12 ÷ 3 = 4, then 4 × 3 = 12. If you get a remainder, you do the multiplication and then add the remainder back in.

The Remainder Theorem

When we divide f(x) by the simple polynomial x−c we get:

f(x) = (x−c)·q(x) + r(x)

x−c is degree 1, so r(x) must have degree 0, so it is just some constant r :

f(x) = (x−c)·q(x) + r

Now see what happens when we have x equal to c:

f(c) = (c−c)·q(c) + r

f(c) = (0)·q(c) + r

f(c) = r

So we get this:

The Remainder Theorem:

When we divide a polynomial f(x) by x−c the remainder is f(c)

So to find the remainder after dividing by x-c we don't need to do any division:

Just calculate f(c).

Hope this helps mate.

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