Understanding the remainder Theorem
Prove the Remainder Theorem
Finding the Remainder Using Synthetic Division and the Remainder Theorem
Find the remainder when (4x3−7x+10) is divided by (2x−5)
Using synthetic division
Using the remainder theorem
When (8x3+ax2+bx−1) is divided by:
i) (2x−5), the remainder is 54
ii) (x+1), the remainder is −30
Find the values of a and b.
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You may want to refresh your memory on polynomial long division and synthetic division to better understand this lesson. The remainder theorem simply states that if a polynomial f(x) is divided by a linear expression x-r, the value of f(r) is equal to the remainder.
⋅ When a polynomial, P(x), is divided by (x−a): Remainder =P(a) ⋅ When a polynomial, P(x), is divided by (ax−b): Remainder =P(ab)
