IM3 midterm

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 7x^3 - 8x^2 - 4x + 9 is a polynomial.

Front

How do you classify polynomials by degree?

Back

Polynomials are classified by their degree: Constant (degree 0), Linear (degree 1), Quadratic (degree 2), Cubic (degree 3), and so on.

Front

What is the degree of the polynomial 7x^3 - 8x^2 - 4x + 9?

Back

The degree of the polynomial 7x^3 - 8x^2 - 4x + 9 is 3, which makes it a cubic polynomial.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads 'the probability of A given B'.

Front

How do you calculate conditional probability?

Back

Conditional probability can be calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the result of subtracting the polynomials (6x^2 - 3x + 2) and (-4x^2 + 3x - 6)?

Back

The result of the subtraction is 10x^2 - 6x + 8.

Front

What is the logarithmic form of the equation 5^x = 125?

Back

The logarithmic form is log_5(125) = x.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the domain of the function in the situation 0 ≤ t ≤ 4.5?

Back

The domain of the function is the interval [0, 4.5], meaning t can take any value from 0 to 4.5 inclusive.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.