curriculum: Grade 10

53 posts

Domain of a function

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Domain of a function
Learn what the “domain” of a function is. Learn how to identify the domain of a function and how to write the domain of a function out.

Completing the Square

Sometimes we need to change the form of a quadratic depending on what the situation is. One way of taking a general quadratic and rewriting it in vector form, is to “complete the square”. Learn about what this means and work through some examples to further your understanding.

Forms Of A Quadratic

Forms of a Quadratic

A quadratic is a polynomial of degree 2. There are different forms to represent this second degree polynomial: standard form, factored form and vector form. Depending on a particular problem, a different form will be more or less advantageous to use.

quadratic formula

Quadratic Formula

When we are faced with a quadratic that is not “nice” to factor we need to find a way to factor it. This is where the quadratic formula comes in. The discriminant is a value that can be calculated for each quadratic equation. Depending on the value of the discriminant, we can determine if the quadratic equation has a solution, or has factors, or not.

Quadratics

Quadratics

Quadratics are polynomials of degree 2. These polynomials have some interesting properties. There are quadratics with special structures such as perfect squares and differences of squares. Many quadratics can be factors and we will be looking at how to factor different quadratics. Here we are introducing you to quadratics and how to factor “nice” quadratics.