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

Calculate subsequent proportion, Calculate subsequent proportion: A re...

Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people.  How much flour should be used to make servings for 4 people? Solut

Determine the volume of the hollowed solid, A cylindrical hole with a radiu...

A cylindrical hole with a radius of 4 inches is cut through a cube. The edge of the cube is 5 inches. Determine the volume of the hollowed solid in terms of π. a. 125 - 80π

Complex number, If z=re i ? ,find the value of |e iz | Solution)   z=r(c...

If z=re i ? ,find the value of |e iz | Solution)   z=r(cos1+isin1) |e iz |=|e ir(cos1+isin1) |=|e -rsin1 |=e -rsin1

Sketch the hyperbolic spiral-spiral of archimedes, 1. Sketch the Spiral of ...

1. Sketch the Spiral of Archimedes: r= aθ (a>0) ? 2: Sketch the hyperbolic Spiral: rθ = a (a>0) ? 3: Sketch the equiangular spiral: r=ae θ (a>0) ?

Find out the interval of validity, Without solving, find out the interval o...

Without solving, find out the interval of validity for the subsequent initial value problem. (t 2 - 9) y' + 2y = In |20 - 4t|,   y(4) = -3 Solution First, in order to u

Calculate the quarterly premium of a pension policy, You plan to retire whe...

You plan to retire when you are 65th years old.  You are now 25 years old.  You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 6

Logs, log4^(x+2)=log4^8

log4^(x+2)=log4^8

Real numbers, how to present root numbers on a number line

how to present root numbers on a number line

Example of infinite interval - improper integrals, Evaluate the subsequent ...

Evaluate the subsequent integral. Solution This is an innocent enough looking integral. Though, because infinity is not a real number we cannot just integrate as norm

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