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Find all integers n such that the quadratic 7x^2 + nx - 12 can be expressed as the product of two linear factors with integer coefficients.

 Jan 25, 2021

Best Answer 

 #1
avatar
+1

(7x + a)(x+b)     

Now sub in for a and b the following pairs and compute the value of n     n =   7b +a

a            b                n

12        -1                 5

-1        12                 83

-12       1                  -5       etc

1         -12

2          -6

-6          2

-2          6

6          -2

3         -4

-4         3

-3         4

4         -3

 Jan 25, 2021
 #1
avatar
+1
Best Answer

(7x + a)(x+b)     

Now sub in for a and b the following pairs and compute the value of n     n =   7b +a

a            b                n

12        -1                 5

-1        12                 83

-12       1                  -5       etc

1         -12

2          -6

-6          2

-2          6

6          -2

3         -4

-4         3

-3         4

4         -3

Guest Jan 25, 2021
 #2
avatar+116126 
0

That's a nice solution method, guest   !!!!!

 

 

cool cool cool

CPhill  Jan 25, 2021

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