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Answer:
The graph which represents the function g(x) = 21·x² + 37·x + 12, is described as follows;
Because 'c' is positive, the constant terms in each factor must have the same signs
Because the function has a positive value for 'b', the constant terms in each factor will both be positive which results in negative roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two negative x-intercepts
The graph which represents the function h(x) = 21·x² - 37·x + 12, we have is described as follows;
Because 'c' is positive, the constant terms in each factor must have the same signs
Because the function has a negative value for 'b', the constant terms in each factor will both be negative which results in positive roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two positive x-intercepts
Step-by-step explanation:
The given functions are;
g(x) = 21·x² + 37·x + 12
h(x) = 21·x² - 37·x + 12
For the graph which represents the function g(x) = 21·x² + 37·x + 12, we have
Because 'c' is positive, the constant terms in each factor must have the same signs
Because the function has a positive value for 'b', the constant terms in each factor will both be positive which results in negative roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two negative x-intercepts
For the graph which represents the function h(x) = 21·x² - 37·x + 12, we have
Because 'c' is positive, the constant terms in each factor must have the same signs
Because the function has a negative value for 'b', the constant terms in each factor will both be negative which results in positive roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two positive x-intercepts
