Question

how to factor 8x^3+10x^2+12x+15 by grouping

Answer 1

1. what is the GCF of 28 and 16?

Answer 2

4

Answer 3

correct. what is the GCF of x^2 and x?

Answer 4

x

Answer 5

correct. so pull out 4x from both terms as follows: 4x(?+?)

Answer 6

4x(7x+4)

Answer 7

correct.

Answer 8

2. What is the GCF of 8, 10, 12 and 15?

Answer 9

1

Answer 10

correct so that doesn't help.
some of these questions require certain groupings to find what the question is looking for.

Answer 11

wouldn't you group 8x^3+12x and 10x^2+15

Answer 12

So 8x^3 and 10 x^2 have GCF of 2x^2. SO pull that out and put it in this form: 2x^2(?+?)

Answer 13

yes you could do it the way I was doing it or the way you are doing it. To arrive at the simplest factorization, it is sometimes trial and error

Answer 14

8 and 12 gfc would be 4 and 10 and 15 gfc is 5

Answer 15

correct

Answer 16

4x(x^2+3)+ 5(2x+3)

Answer 17

almost--4x(2x^2+3)+5(2x^2+3)

ok?

Answer 18

4x(2x^2+3)+5(2x^2+3)

Answer 19

how to simplify it to get an equation in the forms of (x+-?)(x+-?)

Answer 20

sorry, I got up to get some water. still there?

Answer 21

look at the expression as if it had two parts --one part to the left of the + sign before the 5 and the other part to the right side of it. Well both sides have a common factor--
(2x^2+3). S factor that out to get (2x^2+3)(4x+5)