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Anything to the power of 0 is 1 (except 0 for some strange reason), so yes.(a+b)0= 1

3(a+b)0= 3

(3a+3b)0= 1

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12y ago

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Is a polynomial of degree zero is a constant term true or false?

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Degree zero refers to mathematical objects or functions that have no non-zero terms or components. In the context of polynomials, a degree zero polynomial is simply a constant term. In linear algebra, a vector space can have elements with degree zero, such as the zero vector.


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The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.


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Why does the constant term of a polynomial written in standard form give you the y intercept of the graph?

In a polynomial written in standard form, the constant term is the value of the polynomial when the input variable (usually (x)) is zero. This means that when you set (x = 0), the polynomial evaluates to the constant term, which corresponds to the point where the graph intersects the y-axis. Therefore, the constant term directly represents the y-intercept of the graph.


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