Question 68830
Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored. 
Problem#22 
x^2+2x-15
ac=-15 and b=2
Use the numbers 5 and -3
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Problem#24 
x^2-3x+7
ac=7 and b=-3
There are no two integers whose product is  7 and whose sum is -3
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Directions: Rewrite the middle term as the sum of two terms and then factor completely. 
Problem# 68 
12w^2+19w+4 
ac=48 and b=19
The numbers are 3 and 16
12w^2+3w+16w+4
=3w(4w+1)+4(4w+1)
=(4w+1)(3w+4)
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Problem# 100 
4z^3-18z^2-10z
=2z(2z^2-9z-5)
ac=-10 and b=-9
The numbers are -10 and +1
=2z(2z^2-10z+z-5)
=2z[2z(z-5)+(z-5)]
=2z[(z-5)(2z+1)]
=2z(z-5)(2z+1)
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Cheers,
Stan H.