Ibbutibbu.
  • Ibbutibbu.
Can someone help me with factoring? 4x^3 + 43x^2 + 30x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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SolomonZelman
  • SolomonZelman
first factor out of x, can you do that for me?
Ibbutibbu.
  • Ibbutibbu.
x ( 4x^2 + 43x + 30 ) ?
SolomonZelman
  • SolomonZelman
yes

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SolomonZelman
  • SolomonZelman
now, lets focus on just the 4x²+43x+30
SolomonZelman
  • SolomonZelman
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 )
SolomonZelman
  • SolomonZelman
and you know that you have (4x + 1)(x + ) (2 pluses, because your trinomial is positive entirely)
SolomonZelman
  • SolomonZelman
now you have to choose two constant factors of 30 to fill it in.
Ibbutibbu.
  • Ibbutibbu.
The factors are 1, 2, 3, 5, 6, 10, 15, 30
Ibbutibbu.
  • Ibbutibbu.
I think
SolomonZelman
  • SolomonZelman
yes, possible picks 1 & 30 2 & 15 3 & 10 5 & 6
SolomonZelman
  • SolomonZelman
4x²+43x+30 (4x + )(x + )
Ibbutibbu.
  • Ibbutibbu.
The rule it that a+b=43 and ab=30?
SolomonZelman
  • SolomonZelman
yes
SolomonZelman
  • SolomonZelman
beautiful
Ibbutibbu.
  • Ibbutibbu.
im not entirely sure
SolomonZelman
  • SolomonZelman
30×1=30, but 30 & 1 don't make the a+b=43
SolomonZelman
  • SolomonZelman
one note/addition
SolomonZelman
  • SolomonZelman
`(4)a+(1)b=43` and `ab=30`
Ibbutibbu.
  • Ibbutibbu.
the 10 +3
SolomonZelman
  • SolomonZelman
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)
Ibbutibbu.
  • Ibbutibbu.
bc 4(10) + 3 = 43
SolomonZelman
  • SolomonZelman
yes,
SolomonZelman
  • SolomonZelman
4x²+43x+30 (4x + )(x + ) fill it for me please...
Ibbutibbu.
  • Ibbutibbu.
(4x + 10)(x + 3) ?
SolomonZelman
  • SolomonZelman
wait, this would give a middle term of (10 • x) + (4x • 3) = 10x+12x=22x
SolomonZelman
  • SolomonZelman
the other way around
Ibbutibbu.
  • Ibbutibbu.
so (4x + 3)(x + 10) ?
SolomonZelman
  • SolomonZelman
yes
SolomonZelman
  • SolomonZelman
(4x•10)+(x•3)=40x+3x=43x
SolomonZelman
  • SolomonZelman
4x³ + 43x² + 30x x ( 4x² + 43x + 30 ) x (4x + 3)(x + 10)
SolomonZelman
  • SolomonZelman
` x (4x + 3)(x + 10) ` is it.... you can't factor it more. DONE
Ibbutibbu.
  • Ibbutibbu.
thx so much
SolomonZelman
  • SolomonZelman
yw

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