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Identify constant, linear, quadratic and cubic polynomials from the following polynomials:$ h(x)=-3 x+\frac{1}{2} $
Given:
\( h(x)=-3 x+\frac{1}{2} \)
To do:
We have to classify the given polynomial as constant, linear, quadratic and cubic polynomial.
Solution:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
A constant polynomial is a polynomial of degree 0.
A linear polynomial is a polynomial of degree 1.
A quadratic polynomial is a polynomial of degree 2.
A cubic polynomial is a polynomial of degree 3.
A biquadratic polynomial is a polynomial of degree 4.
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
To find the degree, identify the exponents on the variables in each term, and add them together to find the degree of each term.
In \( h(x)=-3 x+\frac{1}{2} \), the term $-3x$ has a variable of power $1$.
This implies the degree of \( h(x)=-3 x+\frac{1}{2} \) is $1$.
Therefore, the given polynomial is a linear polynomial.
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