I understand how to do basic factoring like ax^2 + bx + c but I don't understand how to do factoring with more variables then those in the equation. For example: x2+14x+49−y
I understand how to do basic factoring like ax^2 + bx + c but I don't understand how to do factoring with more variables then those in the equation. For example: x2+14x+49−y
Okay, here is a full problem. Factor the expression ay+a6y6. Simplify your answer as much as possible.
Please trust me I have tried to work these out but I can't figure it out. Should I be using the ax^2 + bx + c expression? I just don't understand where to even start with these expressions. I'm not asking for anyone to do my homework I'm just trying to figure out these steps so I can do these kinds of problems on the exam tomorrow.
[tex]ax^2 + bx + c[/tex] is the standard form for a quadratic in one variable.
A quadratic in standard form can be factored using the quadratic formula, but it pertains only to that special case.
All factoring means is to restate an expression as a product of expressions. The most common way to do that is to look for common factors in the expression.
Is your expression [tex]ay + a^6y^6?[/tex] If so, you should see that ay is a common factor and [tex]ay + a^6y^6 = ay(1 + a^5y^5).[/tex]
If your expression is [tex]ay + a * 6 * y * 6,[/tex] then ay is again a common factor and [tex]ay - a * 6 * y * 6 = ay(1 + 6 * 6) = 37ay.[/tex]
Last edited by JeffM; 10-01-2013 at 03:17 PM. Reason: Fixed typo
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