If the product is zero, that means that one of the factor has to be zero. In symbols: if ab = 0, then either a = 0, or b = 0.
Here is an example, with a polynomial in factored form:
(x - 1)(x + 3) = 0
From the above rule, either x - 1 = 0, or x + 3 = 0. Solving each of these parts gives you the two possible solutions, x = 1, or x = -3.
You can't know if a general polynomial is in factored form.
You multiply the factors.
27:_ 27,1,3,9
2x + 3 can be factored as follows: 2(x + 1.5)
It is 7*7*7.
First of all, you don't factor an equation. You factor an expression.Next, here is a linear expression that can be factored: [ 96x + 4 ]. The factored form is: 4(24x + 1).Here is a third degree expression: [ 7x3 - 112x ]. The factored form is: 7x (x + 4) (x - 4).
You can convert standard form to factored form by using a factoring tree to convert to the long-form factored format. You can also work backwards to convert from factored to standard form.
You can't know if a general polynomial is in factored form.
3y-6y in factored form = -3
You add one side of each of the equations to form one side of the new equation. You add the other sides of the equations to form the other side. Subtraction is done similarly.
You can combine equivalent terms. You should strive to put the equation in the form ax2 + bx + c = 0. Once it is in this standard form, you can apply the quadratic formula, or some other method, to solve it.
You can't. Math is not an algebraic expression. Simplifying an equation, however, can take multiple forms. Sometimes simplify simply means to solve an equation. Other times, it can mean to bring an equation into a standard form, such as with line equations, or quadratic equations.
Step one is by expressing one of the equation into one term that is taking one unknown in the form of other. Step two is replacing the unknown into equation 2. Step 3 is replacing the found unknown into one of initial equations to find the other unknown.
You cannot solve a single linear equation in two variables, x and y. You need two independent equations.
A completely factored form is one which is composed of product of factors and can't be factorized further. Let us consider two examples: x2 - 4x + 4 is not a factored form because it can be factored as (x - 2)(x - 2). (x +1)(x2 - 4x + 4) is also not a factored form because x2 - 4x + 4 can be factored further as (x - 2)(x - 2). So, the completely factored form is (x + 1)(x - 2)(x - 2).
Imaginary numbers were discovered when mathematicians tried to solve equations of the form x^2 + 2 = 0
No, not really. Calculus uses algebra to solve equations, but calculus is a branch of mathematics all its own.