Question

What is the expression in factored form?
2x^2 + 16x + 24

Answer 1

what are possible factors of 2?
what are possible factors of 24?

Answer 2

-2, -6

Answer 3

also, note how everything is positive, hence the chosen factors must be positive

Answer 4

Factors for 24: 1, 2, 3, 4, 6, 8, 12 and 24
2: 1 and 2?

Answer 5

ok yes, but try to keep the factor pairs together, (1,24)(2,12) etc

now what combination of the factor pairs when multiplied and then added together will give you 24

Answer 6

er, that phrasing is not very intuitive

Answer 7

so the factor pair of 2 is (1,2) and a potential factor pair of 24 could be like (3,8)
by multiply and add, i mean like
1*3 +2*8
or
1*8+2*3

Answer 8

(1,24)(2,12)(3,8)(4,6)(6,4)(8,3)(12,2)(24,2)