anonymous
  • anonymous
PLEASE HELP!!! Factor completely x^2 + 20x − 36.
Mathematics
chestercat
  • chestercat
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ckallerid
  • ckallerid
Do you know how to split this into a binomial?
anonymous
  • anonymous
no
anonymous
  • anonymous
I was going to say (x+2)(x+18)

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anonymous
  • anonymous
But there is a minus
anonymous
  • anonymous
so then what would it be?
Nnesha
  • Nnesha
check your equation plz
anonymous
  • anonymous
that was the equation given to me one of my answers is prime, is that the answer?
pooja195
  • pooja195
Orime would be correct
Nnesha
  • Nnesha
use the discriminant b^2 - 4ac
pooja195
  • pooja195
*Prime there are no numbers that multiply to -36 but add to make 20
anonymous
  • anonymous
okay thanks :)
pooja195
  • pooja195
ax^2+bx+c=0 x^2 + 20x − 36. a*c <----36 x 1 =-36 b <----20
mathstudent55
  • mathstudent55
You are trying to factor a trinomial of the form: \(x^2 + ax + b\) For this type of factoring, you need to find two numbers whose product is b and whose sum is a. In this case, you need two numbers whose product is -36 and whose sum is 20. If two such numbers do not exist, then the trinomial is not factorable, so it's prime.
anonymous
  • anonymous
thanks
Nnesha
  • Nnesha
nvm
mathstudent55
  • mathstudent55
Factors of -36 Sum of the factors -1, 36 35 -36, 1 -35 -18, 2 -16 -2, 18 16 -12, 3 -9 -3, 12 9 -9, 4 -5 -4, 9 5 -6, 6 0 As you can see, there are no two factors of -36 which have a sum of 20. That means this trinomial is not factorable. it is prime.

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