Module 21.3 Using Special Factors To Solve Equations · 1/12/2017  · monomial factor, such as 18x2 — 60x + 50, students may see that the first and last terms are not perfect squares

Module 21.3

Using Special FactorsTo Solve Equations

How can you use special products to aidin solving quadratic equations by factoring?

P. 1009

P. 1011

Leading Coefficient

Is 1

Leading Coefficient

Is Not 1

Leading Coefficient

Is 1

Leading Coefficient

Is Not 1

9𝑥2 + 12𝑥 + 4 = 3𝑥 + 2 3𝑥 + 2= (3𝑥 + 2)2

9𝑥2 − 12𝑥 + 4 = 3𝑥 − 2 3𝑥 − 2= (3𝑥 − 2)2

P. 1011

Note that the first and last terms are perfect squares.

Note that the first and last terms are perfect squares.

P. 1012

P. 1012

P. 1013

P. 1013

P. 1014

P. 1014

P. 1015

P. 1016

Here are two squares and their areas. In terms of x, how much taller is the left square than the right one? Explain your reasoning.

𝒙𝟐 + 𝟏𝟐𝒙 + 𝟑𝟔

16