Question

1, 4a + 3 ⋮ a-2

2, a² + 3a + 5 ⋮ a + 3

Answer 1

2.

\(a^2+3a+5⋮a+3\)

\(\Leftrightarrow a\left(a+3\right)+5⋮a+3\)

\(\Leftrightarrow5⋮a+3\)

\(\Leftrightarrow a+3\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)

\(\Leftrightarrow a\in\left\{-2;-4;2;-8\right\}\)

Answer 2

1: \(\Leftrightarrow4a-8+11⋮a-2\)

\(\Leftrightarrow a-2\in\left\{1;-1;11;-11\right\}\)

hay \(a\in\left\{3;1;13;-9\right\}\)