Topic 3 Mid-Unit Review

Front

What is the leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the direction of the graph as x approaches positive or negative infinity.

Front

What is the factored form of x² - 400?

Back

(x - 20)(x + 20) - This is a difference of squares.

Front

Classify the polynomial: 2x² + 3x + 5

Back

Quadratic polynomial - A polynomial of degree 2.

Front

What is the degree of the polynomial -3x³ - x² - 10x + 12?

Back

3 - The degree is the highest exponent in the polynomial.

Front

What does it mean if a polynomial has an odd degree?

Back

An odd degree polynomial will have opposite end behaviors; as x approaches positive infinity, the polynomial approaches positive infinity, and as x approaches negative infinity, it approaches negative infinity.

Front

What is a quadratic trinomial?

Back

A quadratic trinomial is a polynomial of degree 2 that has three terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the difference between even and odd functions?

Back

Even functions are symmetric about the y-axis, while odd functions are symmetric about the origin.

Front

How do you determine if a polynomial is a prime polynomial?

Back

A prime polynomial cannot be factored into the product of two non-constant polynomials.

Front

What is the leading term of the polynomial 4x⁴ - 2x² + 7?

Back

4x⁴ - The leading term is the term with the highest degree.