Stella Precalc 2.3-2.5 Review

Front

What are the zeros of the polynomial g(x) = 2x^4 - 19x^2 + 46x^2 + 7x - 60?

Back

The zeros are -1, 4, 5, 3/2.

Front

Calculate (4 - 2i) - (3 + 6i).

Back

The result is 1 - 8i.

Front

Write a polynomial function of least degree with the given zeros: -1, 4, 5, 3/2.

Back

The polynomial is (x + 1)(x - 4)(x - 5)(x - 3/2).

Front

What is the result of the expression (4 - 2i) - (3 + 6i)?

Back

The result is 1 - 8i.

Front

Solve the complex number in the form of a + bi: -4/5 - 7/5i.

Back

The solution is -\frac{4}{5} - \frac{7}{5}i.

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 and n is a non-negative integer.

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of x for which the polynomial evaluates to zero.

Front

Explain the concept of complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the imaginary part.

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?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.