Factoring quadratics of the form x2 + bx + c, Mathematics

Assignment Help:

Factoring quadratics of the form x2 + bx + c ?

This tutorial will help you factor quadratics that look something like this:
x2 + 7x + 12

(Positive coefficients; no leading coefficient.)

Step 1: Write down all the different ways to factor the constant coefficient (12) into two whole 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:- Factoring quadratics of the form x2 + bx + c

Average, A boy covered half of distance at 20km/hr and rest at 40kmlhr. cal...

A boy covered half of distance at 20km/hr and rest at 40kmlhr. calculate his average speed.

Type i and type ii errors-rejection and acceptance regions, Type I and type...

Type I and type II errors When testing hypothesis (H 0 ) and deciding to either reject or accept a null hypothesis, there are four possible happenings. a) Acceptance of a t

Graph and algebraic methods , To answer each question, use the function t(r...

To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour. a. Sydney drives 10 mi at a c

Constant aceleration formulae, a car comes to a stop from a speed of 30m/s ...

a car comes to a stop from a speed of 30m/s in a distance of 804m. The driver brakes so as to produce a decelration of 1/2m per sec sqaured to begin withand then brakes harder to p

Basic Mathematics, Distinguish between Mealy and Moore Machine? Construct a...

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''''s encountered is even or odd.on..

Two circles touching internally prove that ox:oy=oa:ob, Two circles touchin...

Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a

Partitioning -types of word problems related to subtraction, Partitioning ...

Partitioning - an action of taking away or removing some objects, and finding out how many remain. (e.g., there were 15 toffees in this container, and 10 have been eaten. How many

Find the second derivative of the equation, Find the second derivative of t...

Find the second derivative of the below given equation Y= e x cosx

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