Respuesta :
Polynomial of degree seven can have the maximum 7 real solutions,
so maximum number of x-intercepts is also 7.
so maximum number of x-intercepts is also 7.
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients and constants. The maximum number of x-intercepts that a polynomial of degree 7 can have is 7.
What is a polynomial?
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The maximum number of x-intercepts that a polynomial of degree 7 can have is 7. This is because the polynomial with a 7th degree can at maximum have 7 turns, therefore, the graph can change its direction 7 times, which gives its a maximum of 7 chances to intersect the x-axis.
Hence, The maximum number of x-interbcepts that a polynomial of degree 7 can have is 7.
Learn more about Polynomials:
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