👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

👉 In this video I will show you how to factor a binomial by working through four different examples. The first two examples we practice factoring out the GCF, and then move to factoring using a difference of two squares and last but not...

Write the quadratic in vertex form from standard form

Completing the square is a common process that students struggle with that I am no stranger to. In this video I will highlight the mistakes I made as well as my students.

👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...

Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...

Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...

Rational Expressions | Preparing for Precalculus Part 5

Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...

This video is a math lesson on factoring trinomials with a leading coefficient other than 1. The teacher explains six steps to follow, including finding the product of a and c and determining factors that add up to b. The steps are...

👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...

👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...

Multiple examples on how to graph the reciprocal function

Factoring can be tough and factoring trigonometric expressions can seem impossible. However by using a little substitution we can make these problems finally make some sense.

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

👉 Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it...

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

Write the equation of the absolute value function given transformations