2. Complex Numbers & Quadratics

2.01 Review: Factoring techniques

2.02 Factoring with sum and difference of cubes

2.03 Factoring polynomials completely

2.04 Review: Graphs and characteristics of quadratic functions

2.05 Review: Solving quadratic equations by factoring

2.06 Complex numbers

2.07 The discriminant and the quadratic formula

2.08 Quadratic systems of equations

2.09 Applications of quadratic functions

2.10 Extension: Fitting functions to quadratic data

2.07 Complex conjugates and moduli of complex numbers

United States of America GA

Algebra 2

2.03 Factoring polynomials completely

Interactive practice questions

Factor the following expression by taking out the common factor:

$8x\left(10y-z+w\right)-9u\left(10y-z+w\right)$8x(10y−z+w)−9u(10y−z+w)

Easy

< 1min

Factor the following expression:

$4p^2q^2-81c^2d^2$4p2q2−81c2d2

Easy

1min

Factor the following expression:

$9p^2+24pq+16q^2$9p2+24pq+16q2

Medium

1min

Factor the following expression:

$9p^2-30pq+25q^2$9p2−30pq+25q2.

Medium

1min

Outcomes

MGSE9-12.A.SSE.2

Use the structure of an expression to rewrite it in different equivalent forms. For example,see x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 - y^2)(x^2 + y^2).

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