Algebra 2 review semester 1

Front

Identify the zeros of the polynomial function: (x+2)(x+6)(x-4)

Back

The zeros are x = -2, x = -6, x = 4.

Front

Solve for x: 2x + 150 = 0

Back

x = -75.

Front

Solve for x and check for extraneous solutions: x^2 - 2x - 1 = 0

Back

x = 1 is the solution; x = -2 is extraneous.

Front

Find a polynomial function of degree 3 with zeros 3i and -2.

Back

P(x) = x^3 + 2x^2 + 9x + 18.

Front

What is the domain of the function f(x) = 1/(x^2 - 4)?

Back

The domain is x ≠ 2, -2.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which f(x) = 0.

Front

Explain extraneous solutions.

Back

Extraneous solutions are solutions that emerge from the process of solving an equation but do not satisfy the original equation.

Front

What is the degree of a polynomial?

Back

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

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros, set the polynomial equal to zero and solve for x.