Cyclic Redundancy check CRC

Question

How many bits does CRC detect or correct?
How does it detect burst error?
Questions:-
Which of the following CRC generators guarantee the detection of a single bit error ?
P. x^4+x^2
Q. x^3+x+1
R. x^2+1
S. 1

A. Only P
B. Only P,Q
C.Only P,Q,R
D. All of P,Q,R,S

Consider the CRC polynomial . Which of the following is false ?
A. It detects a single bit error
B. it detects a burst error of size 6
C. The probability of detecting a burst error of size 9 is 
D. The probability of detecting a burst error of size 15 is 

Comments

for 1st question i,m getting only Q and R correct, as CRC guarantees single bit error correction when it has at least 2 terms and coefficient of x^0 is 1.

for question 2 , both c and d option seems wrong. as, P(burst error detected with size > degree of polynomial+1)=1-(1/2)^degree. which matches neither option c nor d.

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Yes @aambazinga getting same answers!

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Thanks for your reply The answer given is C and D .

As you said , as " CRC guarantees single bit error correction when it has at least 2 terms and coefficient of x^0 is 1 ".and " P(burst error detected with size > degree of polynomial+1) "
Can you please provide the source. I need to read these concepts in depth.

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what is the value of P(burst error detected with size <= degree of polynomial+1)