Factoring involves 'factoring out' the common numbers for each term. In a simple general form, a + ab = a(1+b).
It's like "undistributing" factors: instead of multiplying both terms by a number, you essentially divide both terms by a number.
In (7x + 49), both terms - 7x and 49 - have 7 as a factor. So, it can also be written:
7x + 49 = 7(x+7)
-7
x2 + 7x + 6 = (x + 6) (x + 1)
10 + 9x
Oh, what a happy little question! Let's gently divide 2 into the polynomial -3x^2 + 7x - 9. When we do that, we find that the remainder is -6x - 21. Just remember, there are no mistakes, only happy little accidents in math!
-7x + 6 + 7x - 2 = 4
49-(4*3*4) = 1
It is: (x+1)(x+6) when factored
Factoring requires you to reduce as much as possible. To factor 7x + 49, you remove the common factor of 7x and 49, which is 7, and multiply (7x + 49)/7 (which is x + 7) by 7, without actually simplifying. 7x + 49 = 7(x + 7) Then, if possible, do the same thing until it cannot be further factored.
-((x + 2)(x - 9))
(5x + 2)(x + 1)
21x3-35x2+14x = 7x(3x2-5x+2)
(X+9)(x-2)
(5x + 2)(x + 1)
(x + 7)(x2 - 7x + 49)
It's just a mathematical polynomial: 7x + 3y.
True.
3(7x-6)