Recovering three coefficients
Recovering three coefficients
6 marks
TGM Original
The monic cubic P(x)=x3+ax2+bx+c has factors x-1 and x+2. Division by x-2 leaves remainder 20. Find a,b,c and factorise P fully.
Solution:
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Answer:\(a=4,\ b=1,\ c=-6\); \(\mathrm{P}(x)=(x-1)(x+2)(x+3)\).
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