The product of 3 rational numbers is 21. If one of those numbers is -3, find two possible factors that make the statement true.

Question

asked Mar 4, 2021 203k views

1 Answer

Kunif · Answer 1 · 2021-03-10T08:54:05+0000

Answer:

$-1,7 \ and \ 1,-7$

Explanation:

let
and
be two other factors.

$Given \ that -3* x* y=21\\\Rightarrow xy=(-21)/(3) \\xy=-7$

is a prime number. Its factors can be
and
only.

But product is negative so one of the number must be negative.

Two cases possible
-1,7 and
1,-7 .