anonymous
  • anonymous
.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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rhr12
  • rhr12
Help for what?
anonymous
  • anonymous
@welshfella
rhr12
  • rhr12
Easy prb. Hold on. Lemme take a look

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welshfella
  • welshfella
first you need to factor x^2 + 12x + 35 the factors will look like (x + a)(x + b) where a*b = 35 and a + b = 12 so can you work out the values of a and b are?
welshfella
  • welshfella
factor 35
anonymous
  • anonymous
7 and 5?
welshfella
  • welshfella
right good now we need to factor the denominator
rhr12
  • rhr12
X2+11/3 for the first one
welshfella
  • welshfella
3x + 15
anonymous
  • anonymous
what 3x +15?
anonymous
  • anonymous
oh nevermind
anonymous
  • anonymous
3(x+5)?
welshfella
  • welshfella
3x + 15 factors to what?
anonymous
  • anonymous
3(x+5)?
welshfella
  • welshfella
right so we have (x + 5)( x + 7) ----------- 3 ( x + 5)
anonymous
  • anonymous
so x+7/3 right?
rhr12
  • rhr12
Get it?
1 Attachment
welshfella
  • welshfella
right
anonymous
  • anonymous
@rhr12 i think you are wrong
rhr12
  • rhr12
My bad. Its not possible
anonymous
  • anonymous
@welshfella what about the next one?
rhr12
  • rhr12
Sorry.
welshfella
  • welshfella
No that is wrong rhrh12 you cannot divide those terms because the top and bottom are sums not products
anonymous
  • anonymous
@welshfella what about the next one?
anonymous
  • anonymous
isn't the next one b?
welshfella
  • welshfella
that's easy factor 2x - 12 then simplify
anonymous
  • anonymous
b?
welshfella
  • welshfella
yes
anonymous
  • anonymous
the third one?
welshfella
  • welshfella
easy also factor 4x + 16
anonymous
  • anonymous
4(x+4)
welshfella
  • welshfella
right now simplify 4(x + 4) ------ 6
anonymous
  • anonymous
not sure what i do next
welshfella
  • welshfella
what is a common factor of 4 and 6?
anonymous
  • anonymous
2
anonymous
  • anonymous
isn't it B also?
welshfella
  • welshfella
right so divide 4 and 6 by 2
welshfella
  • welshfella
|dw:1438446007131:dw|
anonymous
  • anonymous
isn't it B?
welshfella
  • welshfella
no
anonymous
  • anonymous
a?
welshfella
  • welshfella
yes
welshfella
  • welshfella
you divide top and bottom by 2 to get 2 / 3
anonymous
  • anonymous
can i ask you a few more?
welshfella
  • welshfella
well one more
anonymous
  • anonymous
1 Attachment
welshfella
  • welshfella
then hopefully you can do the rest yourself thats the best way to learn - practice them yourself
welshfella
  • welshfella
factoring 4x^2 - 7x + 3 is a bit more difficult than those with x^2 only
welshfella
  • welshfella
you know that the letters a and b must be -3 and -1 because they product is + 3 and you need -7x in the middle
welshfella
  • welshfella
so its 4x and x as first part of the 2 bracketes |dw:1438446430986:dw|
welshfella
  • welshfella
so top part is (4x - 3)x - 1)
anonymous
  • anonymous
okay
welshfella
  • welshfella
the bottom part is easier you need 2 numbers whose product is -6 and whose sum is + 5
anonymous
  • anonymous
6 and -1
welshfella
  • welshfella
so it must be -6 and + 1 or +6 and -1
welshfella
  • welshfella
you are right so we have (4x - 3)(x - 1) ------------ (x + 6)(x - 1)
anonymous
  • anonymous
x-1 cancel so its D right?
welshfella
  • welshfella
yes correct
anonymous
  • anonymous
thanks

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