A way to multiply two binomials: First-Outside-Inside-Last.

In a polynomial with no like terms, the coefficient with the term of the greatest degree.

The product of a binomial and itself.

When a polynomial is written out in descending order, with no like terms.

Zero Product Property

A property that states if the product of two real numbers is zero, then at least one of the numbers must be zero.

Additive Inverse of a Polynomial

A polynomial with the sign of each term changed.

The real number before the factor.

The expressions added together in a sum.

The number of variable factors.

Quadratic Equation in One Variable

An equation that can be written in the standard form of ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

A solution to an equation, the x-intercept.

The x-value of a function f for which f(x) = 0.

Rationalizing the Denominator

To eliminate a radical from the denominator of a fraction by multiplying by an appropriate form of 1.

A number written in the form of a + bi, where a and b are real numbers.

The square root of -1, i = √-1.

A number written in the form of a + bi, where a and b are real numbers and b ≠ 0.

Pure Imaginary Number

A number written in the form of a + bi, where a = 0 and b ≠ 0.

Completing the Square

To add a term c to an expression in the form of x² + bx, such that x² + bx + c is a perfect square trinomial.

Vertex Form of a Parabola

Quadratic function written in the form of f(x) = a(x − h)² + k, where a ≠ 0 and vertex located at (h, k).

The lowest point on a parabola that opens up, or the highest point on a parabola that opens down.

The U-shaped graph of a quadratic function.

x = (-b ± √(b² − 4ac)) / 2a, for ax² + bx + c where a, b, and c are real numbers and a ≠ 0.

The expression b² − 4ac in the Quadratic Formula.

System on Nonlinear Equations

A system of equations where at least one of the equations is nonlinear.

ax² + bx + c , ≤, ≥, 0, where a, b, and c are real numbers and a ≠ 0.

A function written in the form of f(x) = a(x − h)² + k, where a ≠ 0.

A line that divides a parabola into mirror images and passes through the vertex.

A fixed point in the interior of a parabola, such that the set of all points (x, y) of the parabola are equidistant from the focus or directrix.

A fixed line perpendicular to the axis of symmetry, such that the set of all points (x, y) of the parabola are equidistant from the focus or directrix.

Standard Form of a Quadratic

f(x) = ax² + bx + c, where a ≠ 0.

Intercept Form of a Quadratic

f(x) = a(x − p)(x − q), where a ≠ 0.

The y-coordinate of the vertex of a quadratic function, f(x) = ax² + bx + c, where a > 0.

The y-coordinate of the vertex of a quadratic function, f(x) = ax² + bx + c, where a

Algebra Flashcards Flashcards

Student preview

42 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Factored Completely

Back

A polynomial written as a product of the non-factorable polynomial with integer coefficients.

2.

FLASHCARD QUESTION

Front

Quadratic Form

Back

An expression in the form of au² + bu + c, where u is an algebraic expression.

3.

FLASHCARD QUESTION

Front

Repeated Solution

Back

A solution of an equation that appears more than once.

4.

FLASHCARD QUESTION

Front

Degree of a Polynomial

Back

The greatest power of all the terms in a polynomial.

5.

FLASHCARD QUESTION

Front

Descending Order

Back

A polynomial written with the terms from greatest to least.

6.

FLASHCARD QUESTION

Front

Difference of Squares

Back

A term used to describe a polynomial in which one perfect square is subtracted from another.

7.

FLASHCARD QUESTION

Front

Evaluate

Back

To replace the variable(s) in an algebraic expression with a number or numbers and perform the indicated mathematical operations.

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