SOLUTION: To factor x^2-8x-20, we must find two numbers whose product is p and whose sum is q. p and q are: 1) p=-20, q=-8 2) p=10, q=-2 3) p=-10, q=-2 4) p=-10. q=2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: To factor x^2-8x-20, we must find two numbers whose product is p and whose sum is q. p and q are: 1) p=-20, q=-8 2) p=10, q=-2 3) p=-10, q=-2 4) p=-10. q=2       Log On


   



Question 153674: To factor x^2-8x-20, we must find two numbers whose product is p and whose sum is q. p and q are:
1) p=-20, q=-8
2) p=10, q=-2
3) p=-10, q=-2
4) p=-10. q=2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-8x-20=%28x%2Bp%29%28x%2Bq%29=x%5E2%2B%28p%2Bq%29x%2Bpq
pq=-20
p%2Bq=-8
Since pq is negative, either p or q must be negative.
Since p+q is negative, the larger factor is negative.
1 is not the solution, pq=160
2 is not the solution, p+q=8
3 is not the solution, pq=20
4 is the solution, pq=-20, p+q=-8
4)p=-10, q=2