SOLUTION: Directions: 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
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Directions: 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
Log On
Question 68830: Directions: 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
Problem#24
x^2-3x+7
Directions: Rewrite the middle term as the sum of two terms and then factor completely.
Problem# 68
12w^2+19w+4
Problem# 100
4z^3-18z^2-10z Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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
---------------------------
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
----------------------
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)
------------------
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)
----------
Cheers,
Stan H.
(