NC Math 3 EOC Questions

Front

What is a polynomial and how is it defined?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients. It can be expressed in the form p(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What does it mean for a zero of a polynomial to have multiplicity?

Back

The multiplicity of a zero of a polynomial refers to the number of times that zero appears as a root. For example, if x = 1 is a zero of multiplicity 2, it means (x - 1)^2 is a factor of the polynomial.

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression. For example, in p(x) = 2x^4 - 6x^3 + 3, the degree is 4.

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What is a representative sample in statistics?

Back

A representative sample is a subset of a population that accurately reflects the characteristics of the whole population. It is crucial for ensuring that survey results are valid and generalizable.

Front

What is the difference between the circumcenter, incenter, and centroid of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect and is equidistant from the vertices. The incenter is the point where the angle bisectors intersect and is equidistant from the sides. The centroid is the point where the medians intersect and is the center of mass of the triangle.

Front

What is a right hexagonal prism?

Back

A right hexagonal prism is a three-dimensional solid with two parallel hexagonal bases connected by rectangular lateral faces. The sides are perpendicular to the bases.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the significance of the radius in a circumcircle?

Back

The radius of a circumcircle is the distance from the circumcenter to any vertex of the triangle. It is important for understanding the properties of the triangle and its circumcircle.

Front

What is the cosine function and its basic properties?

Back

The cosine function is a trigonometric function defined as the ratio of the adjacent side to the hypotenuse in a right triangle. It is periodic with a period of 2π and oscillates between -1 and 1.

Front

How do you identify the amplitude of a cosine function?

Back

The amplitude of a cosine function is the maximum value of the function, which is determined by the coefficient in front of the cosine term. For example, in y = A * cos(Bx), the amplitude is |A|.