Factoring is finding what to multiply to get an expression.
So, we are given a quadratic equation that needs to be factored.
x^3+3x^2-54x
Here are two ways we can factor this equation...
x(x^2+3x-54) This is one of the ways you can factor it out.
Explanation: In the quadratic equation, each of the numbers contains an x. Therefore, you can put and x in front of the parenthesis and distribute it out to the other numbers. If you have one x in front of the parenthesis, you need to remove one x from each of the number in the equation.
The second way you can factor that problem out is....
x(x+-6)(x+9)
Explanation: When factoring this way, you need to find two numbers that are multiples of -54 but add up to 3. -6 and 9 both multiply into -54 and add up to 3. Now, you'll multiply the parenthesis, and you'll end up with x(x^2+3x-54), which is the first way that was shown how to factor.
Factoring... is similar to solving equations because....
So, we are given a quadratic equation that needs to be factored.
x^3+3x^2-54x
Here are two ways we can factor this equation...
x(x^2+3x-54) This is one of the ways you can factor it out.
Explanation: In the quadratic equation, each of the numbers contains an x. Therefore, you can put and x in front of the parenthesis and distribute it out to the other numbers. If you have one x in front of the parenthesis, you need to remove one x from each of the number in the equation.
The second way you can factor that problem out is....
x(x+-6)(x+9)
Explanation: When factoring this way, you need to find two numbers that are multiples of -54 but add up to 3. -6 and 9 both multiply into -54 and add up to 3. Now, you'll multiply the parenthesis, and you'll end up with x(x^2+3x-54), which is the first way that was shown how to factor.
Factoring... is similar to solving equations because....