
What is the degree, type, leading coefficient and constant term of $ h(x) = - 6? $
Answer
515.7k+ views
Hint: As we know that this question is related to the polynomial and we have to find the degree, type of polynomial , leading coefficient and the constant term of the polynomial. Let us assume a polynomial $ a{x^2} + bx + c = 0 $ . This is an example of quadratic polynomials. We know that the degree of a polynomial is the highest degree of the terms.
Complete step by step solution:
According to the question we have $ h(x) = - 6 $ .
WE have taken a polynomial $ a{x^2} + bx + c = 0 $ . Here in this polynomial the leading coefficient is the coefficient of a leading term i.e. $ a $ , while the degree of this polynomial is $ 2 $ .
And we know that any term that does not have any variable in it is called a constant term.
Hence we can say that we have degree $ = 0 $ , the leading constant is also $ 0 $ and $ - 6 $ is the constant term.
Note: We should note that $ - 6 $ is the product of this equation, so there are no leading coefficients also. There are different types of polynomials with degree such that $ {x^3} $ is cubic, $ {x^2} $ is called quadratic . Before solving this kind of question we should be fully aware of polynomials, coefficients and their formulas.
Complete step by step solution:
According to the question we have $ h(x) = - 6 $ .
WE have taken a polynomial $ a{x^2} + bx + c = 0 $ . Here in this polynomial the leading coefficient is the coefficient of a leading term i.e. $ a $ , while the degree of this polynomial is $ 2 $ .
And we know that any term that does not have any variable in it is called a constant term.
Hence we can say that we have degree $ = 0 $ , the leading constant is also $ 0 $ and $ - 6 $ is the constant term.
Note: We should note that $ - 6 $ is the product of this equation, so there are no leading coefficients also. There are different types of polynomials with degree such that $ {x^3} $ is cubic, $ {x^2} $ is called quadratic . Before solving this kind of question we should be fully aware of polynomials, coefficients and their formulas.
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