how can you Facforiz explain with examples
Answers
Answer:
A factor divides a number completely without leaving any remainder. example: 75/5=13.
there is no remainder.
So we can say that 5 and 13 are the factors of 75.
Step-by-step explanation:
Answer:
Here are the steps for factoring a quadratic (you didn't specify which type of equation u wanted help factoring with so i just assumed):
1. multiply a & c
2. find the multiples of a times c that when added will to b
3. put parantheses
4. simplify
Step-by-step explanation:
So let's take x^2-9x+14
in this case a= 1 b= -9 and c=14
when we multiply a & c we get 14
so what are the multiples of 14?
1x14, -1x14, 1x-14, 2x7, -2x7, 2x-7, -2x-7
The only multiple of 14 that we can see will equal -9 (our b) is -2 times -7
After you find the multiple of a and c that equals b, you put those multiples in place of b in the equation
So our equation was x^2-9x+14
But now we're replacing the -9x with our mutiples -2 and -7, which gives us:
x^2-2x-7x+14
* note that the multiples must have x's behind them
We can now put parentheses around our equation
(x^2-2x)(-7x+14)
From here we can just simplify each expression in the paratheses. We do this by finding the greatest common factor and putting it outside the parentheses
The GCF of x^2 and -2x is x. The GCF of -7x+14 is -7
So our equation now looks like
x(x-2)-7(x-2)
* IMPORTANT! notice how the remaining equations under the parentheses are the same. this shows us that our answers are correct. if the 2 equations in the parentheses (after simplifying) arent't the same, you made a mistake somewhere
Finally, you put the numbers outside the paratheses together under one parenthesis
(x-7)(x-2)
From here you just set each equation equal to 0 to find the zeros/roots of your equation. So x= 7 and x=2. Hope this helped! Let me know if u have any additional questions