Alg2H Final Exam Review

Front

What is the result of multiplying two quadratic functions?

Back

The result is a quartic function.

Front

What are the zeros of the polynomial function y = x(x - 6)(x + 5)?

Back

The zeros are 0, 6, and -5.

Front

What does it mean if a polynomial function has no x-intercepts?

Back

It means the function does not cross the x-axis, indicating that it does not have real roots.

Front

How do you determine the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the degree of a polynomial?

Back

The degree is the highest power of the variable in the polynomial.

Front

What is the significance of the multiplicity of a zero?

Back

Multiplicity indicates how many times a zero is repeated; it affects the graph's behavior at that zero.

Front

How do you find the domain of a function in a real-world context?

Back

Consider the constraints of the problem, such as physical limitations or restrictions on the variable.

Front

What is the domain of the function V(x) = x(14-2x)(20-2x) in the context of cutting corners from a cardboard sheet?

Back

The domain is (0, 7) because x must be greater than 0 and less than 7.

Front

What is the polynomial formed from the zeros -5 (multiplicity 3), 9 (multiplicity 2), -2, and 4 with degree 7?

Back

The polynomial is (x + 5)³(x - 9)²(x + 2)(x - 4).

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

A polynomial of degree n can have at most n zeros.