Question

Can someone help me with factoring?

4x^3 + 43x^2 + 30x

Answer 1

first factor out of x, can you do that for me?

Answer 2

x ( 4x^2 + 43x + 30 ) ?

Answer 3

yes

Answer 4

now, lets focus on just the 4x²+43x+30

Answer 5

you know that if you choose
(2x )(2x )

that is not going to give an odd coefficient 43 in a middle term,
therefore you have to choose
(4x )(x )

Answer 6

and you know that you have
(4x + 1)(x + )

(2 pluses, because your trinomial is positive entirely)

Answer 7

now you have to choose two constant factors of 30 to fill it in.

Answer 8

The factors are 1, 2, 3, 5, 6, 10, 15, 30

Answer 9

I think

Answer 10

yes, possible picks

1 & 30
2 & 15
3 & 10
5 & 6

Answer 11

4x²+43x+30

(4x + )(x + )

Answer 12

The rule it that a+b=43 and ab=30?

Answer 13

yes

Answer 14

beautiful

Answer 15

im not entirely sure

Answer 16

30×1=30, but 30 & 1 don't make the a+b=43

Answer 17

one note/addition

Answer 18

`(4)a+(1)b=43`
and
`ab=30`

Answer 19

the 10 +3

Answer 20

you multiply on of the numbers by 4 and the other by 1
(multiplying by coefficients of x, just as you would if you were to expand it)

Answer 21

bc 4(10) + 3 = 43

Answer 22

yes,

Answer 23

4x²+43x+30

(4x + )(x + )

fill it for me please...

Answer 24

(4x + 10)(x + 3) ?

Answer 25

wait,
this would give a middle term of

(10 • x) + (4x • 3) = 10x+12x=22x

Answer 26

the other way around

Answer 27

so (4x + 3)(x + 10) ?

Answer 28

yes

Answer 29

(4x•10)+(x•3)=40x+3x=43x

Answer 30

4x³ + 43x² + 30x

x ( 4x² + 43x + 30 )

x (4x + 3)(x + 10)

Answer 31

` x (4x + 3)(x + 10) ` is it.... you can't factor it more.
DONE

Answer 32

thx so much

Answer 33

yw