### Nature of Roots

THE SUM AND PRODUCT OF ROOTS.Mr. Clark taught us how the sum and product of roots are related to the quadratic equation.

But before talking about that...

? Well, we can get the roots of a quadratic by:how can we get the roots1.) factoring

2.) using the quadratic formula

3.) or completing the square.

For most of usfactoringis the easiest way to get the root.(factoring review? *click here)

(the quadratic formula?*click here)

(forgot how to complete the square?*click here)

When a (leading coefficient) is 1:

the

sum of the rootsis theor thenegativeof b (coefficient of x)oppositethe product of the roots is the c (constant term)

Example #1)If the roots are 4 and 8,then the quadratic is

.

The b (coefficient of x) is −(12), which is the negative of the

sumof the roots. Thec (constant term)is 32, which is theirproduct.

Example #2)

a= 1;b= -2;c= -15Sum of the roots is -b/a = -(-2)/1 = 2

Product of the roots is c/a = -15/1 = -15That`s all for now

. CIAO! :)oh yah... ANNNNND tomorrow's scribe is

Jamilyn G.^_^

## 1 Comments:

Wow... BlockQuoted the whole thing... Hahaha. Hahaha. Hahaha. Great Job.

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