Last Day of Quarter

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression as (px + q)(rx + s).

Front

What is the process to convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 125% becomes 1.25.

Front

What does it mean to round a number to the nearest tenth?

Back

Rounding a number to the nearest tenth means adjusting the number to one decimal place, based on the value of the hundredths place.

Front

What is the formula for factoring a difference of squares?

Back

The formula for factoring a difference of squares is a^2 - b^2 = (a - b)(a + b).

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial, and it determines the end behavior of the polynomial function.

Front

How do you solve for variables in an equation?

Back

To solve for variables in an equation, isolate the variable on one side of the equation using inverse operations.

Front

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

Back

The degree of a polynomial indicates the maximum number of roots (real or complex) it can have, according to the Fundamental Theorem of Algebra.

Front

What is the process of synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used when dividing by a linear factor, typically expressed as x - c.

Front

How do you identify the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form y = ax^2 + bx + c can be found using the formula x = -b/(2a) and then substituting back to find y.