Math 3 Fall Final Review

Front

Back

x = 0

Front

What is the factored form of a polynomial with roots 2, 5i, and 6?

Back

(x-6)(x-2)(x+5i)(x-5i)

Front

Which graph matches the function?

Back

Graph A

Front

When does the horizontal asymptote equal zero?

Back

When the degree of the numerator is less than the degree of the denominator.

Front

List the potential real zeros of: f(x) = 5x^3 - x^2 + 3

Back

±1/5, ±3/5, ±1, ±3

Front

What is the definition of a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

How do you find the roots of a polynomial?

Back

Set the polynomial equal to zero and solve for the variable.

Front

What is the significance of complex roots in polynomials?

Back

Complex roots occur in conjugate pairs and indicate that the polynomial does not cross the x-axis at those points.

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

A polynomial of degree n has at most n roots.