EasyMathematicsHigh School (9–10)GeneralAlgebra › PolynomialsAlgebra › Algebraic Identities and FactorisationNumericalBoard Exam
Use the factor theorem to decide each one…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Use the factor theorem to decide each one.
- Is a factor of ?
- Is a factor of ?
Need a reminder? The key ideaShow
Remainder theorem: dividing by leaves the remainder . For , use . Factor theorem: is a factor exactly when .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a). . Yes, is a factor.
Step 2. (b). . No, the remainder is .
Answer: (a) yes; (b) no.
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