Given constants a,b,c, and d such that  x2+ax+12 has factors of (x+4) and (x+b), and x2+cx-4 has factors of (x+1) and (x+d), what is the value of ab-cd?

Elementary Geometry For College Students, 7e
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Chapter1: Line And Angle Relationships
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Problem 9CT: Given that 2x3=7. What reason allows the conclusion 2x=10?
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Given constants a,b,c, and d such that 

x2+ax+12 has factors of (x+4) and (x+b), and x2+cx-4 has factors of (x+1) and (x+d), what is the value of ab-cd?

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