Coefficients from a repeated factor

Coefficients from a repeated factor

5 marks
TGM Original
The monic cubic P(x)=x3+ax2+bx+20 has (x+2)2 as a factor. Find a,b and factorise P fully.

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:\(a=9,\ b=24\); \(\mathrm{P}(x)=(x+2)^2(x+5)\).

Need help? Join our JC Math tuition classes.

Learn more