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Serga [27]
3 years ago
12

The trinomial x^2+bx-c has factors of (x+m)(x-n), where m,n, and b are positive. What is the relationship between the values of

m and n?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
10 0
In the given above, we have an equation that is equal to, 

    x² + bx - c = (x + m)(x - n)

If we are to apply distributive property on the items at the right hand side of the equation, the equation becomes,
     x² + bx - c = x² - nx + mx - mn

Simplifying,
    x² + bx - c = x² + (m-n)x - mn

If b is a positive number, m-n should be positive. Therefore, the value of m should be greater than the value of n in order for m-n to become positive. 
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