80.3k views
2 votes
what is the probability that x^2+7x+k is factorable if 0 is less than or equal to k is less than or equal to 20 and k is an integer?

User Phaedra
by
7.5k points

1 Answer

4 votes
The probability would be 1/7.

To factor trinomials in the form x²+bx+c, we look for factors of c that sum to be. In our case, we want factors of k that sum to 7. Since we know k must be an integer, we will list the ways to sum to 7 with positive integers:
1+6
2+5
3+4

This is where the 3 comes in the probability.

Since 0≤k≤20, there are 21 different integers that k could equal. Therefore our probability is 3/21 = 1/7.
User Georgiy Shur
by
8.0k points

Related questions

asked Jul 25, 2024 232k views
Boey asked Jul 25, 2024
by Boey
8.4k points
1 answer
3 votes
232k views
asked Mar 14, 2024 63.3k views
Mike Yan asked Mar 14, 2024
by Mike Yan
7.0k points
1 answer
0 votes
63.3k views
asked Oct 23, 2024 220k views
Szkra asked Oct 23, 2024
by Szkra
8.3k points
1 answer
3 votes
220k views