A claimed repeated factor
A claimed repeated factor
5 marks
TGM Original
For P(x)=x3-2x2-x+2, a student finds P(1)=0 and concludes that (x-1)2 is a factor. Test the conclusion and explain the error.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:\((x-1)^2\) is not a factor; \(\mathrm{P}(x)=(x-1)(x^2-x-2)\) and the quotient at 1 is \(-2\).
Need help? Join our JC Math tuition classes.
Learn more