Find the binomial factors for the following trinomial 2x^2 + 7x + 3?

2. Find the binomial factors for the following trinomial 8y^2 + 17y + 2


3. Find the binomial factors for the following trinomial 4n^2 - 5n - 6


4. Find the binomial factors for the following trinomial 6a^2 - 23a - 4


5. Find the binomial factors for the following trinomial 5x^2 - 7x + 2


Thank you

Find the binomial factors for the following trinomial 2x^2 + 7x + 3?
[02]


1)2x^2+7x+3


=2x^2+x+6x+3


=x(2x+1)+3(2x+1)


=(2x+1)(x+3)


2)


8y^2+17y+2


=8y^2+16y+y+2


=8y(y+2)+1(y+2)


=(y+2)(8y+1)


3)4n^2-5n-6


=4n^2+8n-3n-6


=4n(n+2)-3(n+2)


=(n+2)(4n-3)


4)6a^2-23a-4


=6a^2+a-24a-4


=a(6a+1)-4(6a+1)


=(6a+1)(a-4)


5)5x^2-7x+2


=5x^2-5x-2x+2


=5x(x-1)-2(x-1)


=(x-1)(5x-2)
Reply:You need to use the quadratic formula to find the unknowns:


x1=[-b+((b^2-4ac)^(1/2))]/2a; x2=[-b-((b^2-4ac)^(1/2))]/2a


for instance in the first example a=2, b=7 and c=3. If you use the previous equation, this is what you should get:


1. x1= -1.93; x2= - 0.194


2. y1= -2 ; y2= - 0.125


3. n1= 2 ; n2= - 0.75


4. a1= 4 ; a2= - 0.167


5. x1= 1; x2= 0.4
Reply:1)


2x^2 + 7x + 3


= (2x + 1)(x + 3)





2)


8y^2 + 17y + 2


= (8y + 1)(y + 2)





3)


4n^2 - 5n - 6


= (4n + 3)(n - 2)





4)


6a^2 - 23a - 4


= (6a + 1)(a - 4)





5)


5x^2 - 7x + 2


= (5x - 2)(x - 1)
Reply:1) 2(x + 3)(x + .5)


2) (y + 2)(8y + 1)


3) (4n + 3)(n - 2)


4) (6a + 1)(a - 4)


5) (5x - 2)(x - 1)





Hope this helps.
Reply:no thanks, i already graduated high school and college... but thanks for asking... LEARN to do you homework so you can do good on the tests!!!!