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Iteru [2.4K]
3 years ago
12

The graph of the function g(x) is shown on the coordinate plane below

Mathematics
2 answers:
Deffense [45]3 years ago
5 0
The value of x where g(x)=0 is 6 as the x-intercept is x = 6
Ludmilka [50]3 years ago
3 0

Answer:

Hence, at x=6 the value of the function g(x)=0

Step-by-step explanation:

We are given a graph of the function g(x) and we are asked to find at what value of x is the function g(x)=0.

i..e we are asked to find the x-intercept of the graph g(x) i.e. the point whose y-value is 0.

i.e. (x,0).

So, clearly from the graph we could observe that the graph passes through the point (6,0) i.e. the x-intercept of the graph is 6.

Hence at x=6 the function g(x)=0

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Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree
kompoz [17]

Answer:

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Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zero 1 with multiplicity 3.

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Zero 4 with multiplicity 2.

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p(x) = (x-1)^3(x-4)^2

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Considering the previous zeros:

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3*2*1 = 6

The 6th degree polynomial is p(x) = (x-1)^3(x-4)^2(x+3)

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