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

Las leyes de kepler, la expresión que permite calcular el radio medio de la...

la expresión que permite calcular el radio medio de la órbita de cada planeta es?

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Computed the total cost y of a ride which was x miles, A ride in a taxicab ...

A ride in a taxicab costs $1.25 for the first mile and $1.15 for each additional mile. Which of the following could be used to computed the total cost y of a ride which was x miles

What is permutations explain with examples, What is Permutations explain wi...

What is Permutations explain with examples? Each arrangement of a set of elements is called a permutation. In other words, every possible way (order) of writing a group of lett

Calculate the probability, Given the following decision tree, perform the t...

Given the following decision tree, perform the tasks listed below  1. Simulate the route through the test market and produce results for twenty simulations, calculating the

Fractions, you need to cut the proper to cut 2''*4*8 long studs to the prop...

you need to cut the proper to cut 2''*4*8 long studs to the proper length to make a finished wall 8" in height underneath the studs there will be a double plate made up of two piec

Example of division , Example of division: Divide 738 by 83. Soluti...

Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying

Parallelogram, The base and corresponding altitude of a parallelogram are 1...

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side

Use newtons method to find out an approximation, Use Newton's Method to fin...

Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2].  Determine the approximation to six decimal places. Solution

Parseval theorem, Verify the Parseval theorem for the discrete-time signal ...

Verify the Parseval theorem for the discrete-time signal x(n) and its DFT from given equations. Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and

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