^{2}+ Bx + C.

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## Step 1: Factoring numbers

"Natural number factors" are the complete set of whole numbers, where if you multiply one number in the set by another in the set, you get the number that you're factoring.

For example, the number 5 has two factors: 1, and 5. The number 6 has four factors: 1, 2, 3, and 6.

"Integer factors" include negative numbers.

The number 5 in this case would have four factors: -5, -1, 1, and 5. 6 would have eight factors: -6, -3, -2, -1, 1, 2, 3, and 6.

(Natural numbers are numbers without fractions, starting from 1, 2, 3, 4, 5... all the way up to infinity. Integers are natural numbers, as well as their negative counterparts and 0, or ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...)

Factoring numbers with the natural number set is simple. Every number has at least two factors. To find other factors, start dividing the number starting from two and working your way up until you reach that number divided by 2. Any quotient that does not have a remainder means that both the divisor and the quotient are factors of that number.

Say you need to factor the number 9. You can't divide by two evenly, so we skip it. (Note the solution, 4.5, so you know when to stop later on.) 9 is divisible by 3, so add 3 to your list of factors. Work your way up until you divide by 5 (9 divided by 2, rounded up). You'll end up with 1, 3, and 9 as a list of factors.

When factoring numbers in the integer set, you can just add the negative equivalent of your solutions from natural number factoring in. So 9 would have factors of -9, -3, -1, 1, 3, and 9.

Factoring negative numbers can only be done with integer factoring. The solution is the same one you get factoring the positive version of the number. -9 has factors of -9, -3, -1, 1, 3, and 9.

Zero is the only integer that has an infinite amount of factors, and is the only one that has zero as a factor.

x^2 - 4is not a perfect square, it's adifference of squares.No pun intended, but there's a difference. Take note of the fact that it gets factored out to(x + 2)(x - 2).Now

x^2 - 8x + 16is aperfect square.

It gets factored out to(x - 4)(x - 4), or just(x - 4)^2.That's what makes it a perfect square. That is not the same asx^2 - 4,which as I mentioned is adifference of squares, because x^2 and 4 are both perfect squares and we are subtracting one from the other.A perfect square is basically a binomial expression that is a monomial multiplied by itself (squared). It will always result in a trinomial. Even the simplest monomial squared will result in a trinomial. Consider the monomial

(x + 1). We see that:(x + 1)^2 = (x + 1)(x + 1) = x^2 + 2x + 1

Or the negative:(x - 1)^2 =(x - 1)(x - 1) = x^2 - 2x + 1Edit: Several times I used the term 'monomial' where I meant 'binomial'.

(-3 +/- sqrt (3^2 - 4(1)(2)))/2(1)

If I am incorrect I would appreciate feedback as to where I am in error.

i want to learn more about it

3(cube root) and then the radical sign and then 24n^2 x 3(cube root) and then the radical sign and then 36n^2..............

sorry i don't know how to make it look like the actual problem! How would I factor and solve that? Because obviously i am too dumb to figure it out on my own. online school is hard for me.

24n^2 = 36n^2

And then move the 24n^2 to the other side of the equation:

36n^2 - 24n^2

Factor out the n^2:

n^2(36 - 24) = 0

Solve.

n = 0

If you meant that the two terms were added together, that's unfactorable.

Know how to "factor" Binomials:

Problem: -3x^2 + 7x

Answer: 0, 7/3

I thought the obvious answer is pulling out the x for the original binominal which would result in x (-3x+7)

Although I haven't seen this before, I could take each of the factors and have them equal 0 to come up with the answer. Am I missing something?

Example: x = 0 and -3x + 7 = 0

Solve for x, x = 0 and x = 7/3

x^2(2+5x^5)(1+3x)

Answer has 3 factors (^^)

2x2 is strange looking, and could b thought of as 2 times x times 2

also, this gets more complicated when u have variable powers, as x to the power of y, which is different when written as xy.

ex:

x to the power of 4

wrong:

x4

right:

x^4

^{2}-4x, to get to the answer 2x(x-2). He did this by expanding the binomial function. The common factor in the equation 2x^{2}-4x is 2x, this is because there is a 2x in 2x2 obviously but a 2x inside -4x also. therefore if you times 2x(x-2) out you will get 2x^{2}-4x. This is because 2x times x = 2x^{2}which is the first part of the equation and 2x times -2 gives the answer -4x because a positive times a negative is a negative number.Hope this explains it, if not, reply to me

^{2}- 81t^{2}Square root both of the terms in the function. You'll end up with 2v and 9t.

Then, plug it in to the set pattern, (x + y)(x - y).

(2v + 9t)(2v - 9t)

(Imagine the tune of "Pop! Goes the Weasel".)

The opposite of lower case "B",

Plus or minus the square root,

Of "B" squared minus 4(ac),

All over 2a.

Fin.

It's irritating, but you'll remember the formula.

Pronounce...

4(ac) = four "A" "C"

2a = two "A"

x equals minus b,

plus or minus root,

b squared minus four a c,

all over two a.

:)

I mean 9.x.x times 9.x.x = 81.x.x.x.x

( sorry, can't type the power superscripts )

^{2}times 9x^{2}is 81 * 81 which = 6561 which is the same as 9*9*9*9 or 9^{4}.81

^{4}is 43,046,721ax

^{4+bx}3+cx^{2+dx+e}synthetic division

normal division those would be reallly helpful.