Alg 2: Polynomial Operations, i and degree

Front

What is the leading coefficient in the polynomial equation y = x^2 + 5x + 7?

Back

The leading coefficient is 1.

Front

How can you determine if a polynomial function is even, odd, or neither?

Back

A polynomial is even if f(-x) = f(x), odd if f(-x) = -f(x), and neither if it does not satisfy either condition.

Front

Simplify the expression: 3i(3i - 4)

Back

The simplified expression is -9 - 12i.

Front

What is the product of (2x + 3)^2?

Back

The product is 4x^2 + 12x + 9.

Front

What is the simplest radical form of √80?

Back

The simplest radical form is 4√5.

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 the degree of the polynomial y = 2x^3 + 3x^2 + 5?

Back

The degree of the polynomial is 3.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

How do you find the roots of a polynomial equation?

Back

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

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.