Question

New Algebra Question:
8.02] Determine the factors of a2b + 2a2 + 3b + 6.

(b + 3)(a2 + 2)

(b + 2)(a2 + 3)

(ab + 2)(a + 3)

(ab + 3)(a + 2)

Answer 1

a2(b+2) + 3(b+2) => (a2+3)(b+2)

Answer 2

Huh?

Answer 3

So B?

Answer 4

Huh what, those are the factors.

Answer 5

B, yes.

Answer 6

Oh, ok! :) How?

Answer 7

This is 'factoring-by-grouping'

\(\large a^2b + 2a^2 + 3b + 6\)
Factor the first two terms separately from the last two terms.

\(\large a^2b + 2a^2 = a^2(b+2)\)

\(\large 3b + 6=3(b+2)\)

(b+2) is a common factor of both.

Answer 8

Ok, thx so much! :)