Solve the form x2 - bx + c, Mathematics

Assignment Help:

The form x2 - bx + c ?

This tutorial will help you factor quadratics that look something like this:

x2 -7x + 12

(No leading coefficient; negative middle coefficient; positive constant coefficient.)

Step 1: Write down all the different ways to factor the constant coefficient (12) into two negative numbers:

12 = ( -1)(-12 )

12 = ( -2)( -6 )

12 = ( -3)( -4 )

(Order doesn't matter. So (-3)(-4) is the same as (-4)(- 3).)

Step 2: Now, for each possible factorization, add together the two factors. You're looking for two that add up to the middle coefficient, which is -7.

-1 - 12 = -13

-2 - 6 = -8

-3 - 4 = - 7 < --------------------------- found it!

The factors which worked out were -3 and -4, so here's how

you factor the polynomial:

(x - 3)(x - 4)

Step 3: Check your answer by multiplying out using FOIL:

(x - 3)(x - 4) = x2 - 7x + 12.


Related Discussions:- Solve the form x2 - bx + c

Volumes of solids of revolution - method of rings, Volumes of Solids of Rev...

Volumes of Solids of Revolution / Method of Rings In this section we will begin looking at the volume of solid of revolution. We have to first describe just what a solid of rev

Trigonometry, explain the formular for finding trigonometry

explain the formular for finding trigonometry

Compounding and Simple Interest, A painting was purchased 11 years ago for ...

A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.

Interpretations of definite integral, Interpretations of Definite Integral ...

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

How many can speak both english and russian, In a group of 1000 people, the...

In a group of 1000 people, there are 750 people will speak English and 400 people will speak Russian. How many may speak English only? How many will speak Russian? How many can spe

Determine the probability - probability example, Consider two bags, A and B...

Consider two bags, A and B, with the following contents Bag A Bag B 3 white marbles 4 white marbles 2 red marbles

Combinations, Now we take up combinations and its related concepts. C...

Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the

What is monomials and polynomials in maths, What is Monomials and Polynomia...

What is Monomials and Polynomials in maths? An expression like 7x is called a monomial. A monomial is an integer, a variable, or a product of integers and variables. Other e

Formula to computing how much lumber to buy, Audrey is creating a increased...

Audrey is creating a increased flowerbed which is 4.5 ft by 4.5 ft. She requires computing how much lumber to buy. If she requires knowing the distance around the flowerbed, which

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd