Mock test 1 - Q6 - pending

Q6. Find (q+r) if (x-2)^2 is a factor of x^5 - 5qx + 4r = 0.
Solution:
If you do the long division eventually you will get this remainder:
(-5q+80) x + (4r - 128).
This should be 0.
If a polynomial is 0, each of its factors has to be 0.
5q = 80 => q = 16.
4r = 128 => r = 32.
Answer: 48.

Comments

Popular posts from this blog

Combinatorics DPP - RACE 6 - Q16 pending discussion

Geometry practice problems

Pre RMO 2018(IOQM), Question 2 incircle quadrilateral