Two friends start a business together. They decided to share their capitals depending upon a variable expenditure. The capital of the two partners together is given by polynomial 6 x^2 + 11 x - 35, which is the product of their individual share factors.
I) What is the total investment when x= 250
ii) what are their individual shares when x = 250
iii) what is x when the total share is 0.
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Answer:
Given : The capital of the two partners together is given by polynomial 6 x^2 + 11 x - 35, which is the product of their individual share factors
To find : (i) Find their factors. (ii) Are their capital shares same?
Solution:
The capital of the two partners together is given by polynomial
6 x² + 11 x - 35
= 6 x² + 21x - 10x - 35
= 3x(2x + 7) - 5(2x + 7)
= (3x - 5)(2x + 7)
Their Factors are 3x - 5 and 2x + 7
3x - 5 = 2x + 7
iff x = 12
if variable expenditure. = 12 then their individual Share factor are Equal
3x - 5 > 2x + 7
iff x > 12
3x - 5 < 2x + 7
iff x < 12
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