Consider the function shown on the graph.
2 answers:
Answer:
Option (c) is correct.
The function is
Step-by-step explanation:
Given : A graph with two zeros at (3,0) and (7,0)
We have to find the function that shows the given graph.
Consider the given graph
Since, (3,0) and (7,0) are the zeros,
The value of function is 0 at 3 and 7
That is f(3) = 0 and f(7) = 0
Thus,
x = 3 and x = 7
That is x - 3 = 0 and x - 7 = 0
That is (x-3)(x-7)=0
Also, when x= 8 then y = 15 is satisfies by only by option (c)
f(x) = 3(x-3)(x-7)
Thus, The function is
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In this case we have the following trinomial:
By definition, the factorization is a technique that consists in the mathematical decomposition of an expression, in the form of a product. Having said that, we can factor the given trinomial in the following way:
We look for two numbers that when multiplied give as result 42, and when summed give as result -13.
The numbers that meet these two conditions are -6 and -7 by:
So, we have:
Answer:
The binomials associated with the given trinomial are and
.