anonymous
  • anonymous
Explain, in complete sentences, how to factor 4x2 – 4x – 48. Explain how your factors could be checked for accuracy
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
let f(x)= 4x^2 – 4x – 48=4(x^2-x-12) f(4)=0 therefore, x-4 is a factor of f(x) f(-3)=0 therefore, x+3 is a factor of f(x) deg(f(x))=2 therefore, it has two roots therefore, f(x) =4(x-4)(x+3)
radar
  • radar
Extract the common factor 4 getting 4(x2-x-12) then factor the remainder getting: (x-4)(x+3) put them together and get 4(x-4)(x+3)
radar
  • radar
To check for accuracy simply multiply your results to determine if you end up with the original expression

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anonymous
  • anonymous
The first step to factorization is to take out a highest common factor, which in your case is 4 . 4(x^2-x-12) Now you have to ask yourself what multiplys to give -12 and and adds to give -1, well its right, -4,3 4(x-4)(x+3) to check you can expand again and you should end up with a original question
anonymous
  • anonymous
Thank you ,this helps alot

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