how to do divide with remainder therom
Answers
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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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.