Question

This lesson discusses factoring general type of trinomials, which are divided into two
forms. These are trinomials in the form of ax2 + bx + c where a=1, and ax? + bx + c
where a # 1. Write what you have learned about each one, including the step-by-step
process on how factoring is done. ​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

$\text { For } a x^{2}+b x+c \text {, where } a=1$

$\text { for example: } \quad x^{2}+2 x-y 4$

$\text { we can fartor it cumpletety: }(x+b)(x-4)$

$\text { For } a x^{2}+b x+c$ where a≠1

$\begin{array}{l}=a\left(x^{2}+\frac{b}{a} x\right)+l \\=a\left(x^{2}+\frac{b}{a} x+\frac{b^{2}}{4 a^{2}-\frac{b^{2}}{\left.4 a^{2}\right)+c}}\right. \\=a\left(x+\frac{b}{2 a}\right)^{2}+c-\frac{b^{2}}{4 a}\end{array}$