Solving Quadratics By Factoring Worksheet - Chapter 14-1 printable pdf download

Solving Quadratics By Factoring Worksheet - Chapter 14-1

MATH AROUND US

BEING RESOURCEFUL IN HUMAN RESOURCES—ELYSE PAYNE

Elyse Payne works as a human resources generalist, supporting employees at a Crown

corporation. Though she didn’t expect it, using math is a daily part of her job.

Each day Elyse ﬁ nds herself doing basic math like adding, subtracting, and calculating

percentages. However, for her, the most surprising use of her math skills has come from her job’s

heavy use of Microsoft Excel®. She says, “I use the Formula bar in Excel daily. It calls upon my

math skills because I have to think of how the calculation will come out before I make entries or

create functions.”

While Elyse did well in her math courses throughout high school, university, and college, it wasn’t

clear how the subject could eventually apply to her future career aspects. However, now that

she is out of school and in the workforce, she believes that education helps contribute to her

success. “It’s because of my math skills that I can use an application like Excel® easily and

successfully, making me a more productive and valuable employee to my employer.”

14–1

Solving Quadratics by Factoring

Terminology

A polynomial equation of second degree is called a quadratic equation. It is common practice

Recall that in a polynomial, all

to refer to it simply as a quadratic.

powers of x are positive integers.

◆◆◆

Example 1:

The following equations are quadratic equations:

(a) 4x

(b) x

(d) 2x

Equation (a) is called a complete quadratic; (b) and (d), which have no x terms, are called pure

quadratics; and (c), which has no constant term, is called an incomplete quadratic.

◆◆◆

A quadratic is in general form when it is written in the following form, where a, b, and c

are constants:

General

Form of a

Quadratic

◆◆◆

Example 2:

Write the quadratic equation

in general form, and identify a, b, and c.

Solution:

Subtracting 5x

/3 from both sides and writing the terms in descending order of the

exponents, we obtain

Quadratics in general form are usually written without fractions and with the ﬁ rst term positive.

Multiplying by

3, we get

12x

368

Solving Quadratics By Factoring Worksheet - Chapter 14-1

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