# Quadratics and polynomials

Contents

We'll now progress beyond the world of purely linear expressions and equations and enter the world of quadratics (and more generally polynomials). Learn to factor expression that have powers of 2 in them and solve quadratic equations. We'll also learn to manipulate more general polynomial expressions.

14 exercises available

Learn how to add and subtract polynomial expressions with one variable.

Learn how to multiply monomials and binomials.

Learn about the special types of products of binomials: perfect squares and the difference of two squares. These will be very helpful once you tackle more advanced expressions in Algebra.

Learn how to take a common monomial factor out of a polynomial expression. For example, write 2x³+6x²+8x as (2x)(x²+3x+4).

Learn how to factor quadratic expressions with a leading coefficient of 1. For example, factor x²+3x+2 as (x+1)(x+2).

Learn how to factor quadratic expressions with a leading coefficient other than 1. For example, factor 2x²+7x+3 as (2x+1)(x+3).

Learn how to factor quadratics that have the "difference of squares" form. For example, write x²-16 as (x+4)(x-4). Learn how to identify this form in more elaborate expressions. For example, write 4x²-49 as (2x+7)(2x-7).

Learn how to factor quadratics that have the "perfect square" form. For example, write x²+6x+9 as (x+3)². Learn how to identify these forms in more elaborate expressions. For example, write 4x²+28x+49 as (2x+7)².

In this tutorial, you'll learn some pretty elaborate ways of solving quadratic equations, by harnessing the mighty strength of algebra.