Algebra review factoring
Introduction :
The algebra is one of the important categories in mathematics. In algebraic expression factoring is main concept. In this article we shall discuss about algebra review factoring.
Types of factoring:
Rules for algebra review factoring method:
The following are the steps involved in reviewing algebra for factoring method.
Step 1: Rewrite the expression so that consecutive terms have a common factor.
Step 2: Find the common factor of the consecutive terms
Step 3: Group the common factor
Completing the Square method
For some of the equation we couldn’t find common factors easily. To solve such a equation we use this method.
Rules for factor the quadratic equation by completing the square method:
If the quadratic equation in the form of ax2+bx+c=0
Step 1: If ‘a’ is does not equal to1, divide each side by the value of ‘a’ (coefficient of x2 is ‘a’).
Step 2: Rewrite the given equation with the constant term on the right side.
Step 3: Complete the square by adding the square of one half of coefficient of x to both sides.
Step 4: Write the left hand side as square and then simplify the right hand side.
Step 5: Compare and solve.
Factoring by quadratic method:
We have the quadratic formula for solving the equation
If the equation is in the form of ax2+bx+c=0
Roots = `(-b+-sqrt(b^2-4ac))/(2a)`
Review- algebra factoring with example problems
x2-10x+24=0
Solution:
Step 1: Multiply the coefficient of x2 and the constant term,
1*24 =24 (product term)
Step 2: Find the factors for the product term
24 --- > -6 *-4 = 24 (factors -6 and -4)
-6-4 = -10 (-10 is equal to the coefficient of x)
Step 3: Split the coefficient of x
x2-10x+24=0
x2-6x-4x+24=0
Step 4: Taking the common term x for the first two terms and -4 for the next two terms
x(x-6) -4(x-6) =0
(x-4) (x-6)=0.
Now set (x-4) =0; x=4;
(x-6)=0; x=6.
The roots are x=-6 and 4.
The algebra is one of the important categories in mathematics. In algebraic expression factoring is main concept. In this article we shall discuss about algebra review factoring.
Types of factoring:
- Factoring method
- Complete the square me 4017
- Quadratic formula method
Rules for algebra review factoring method:
The following are the steps involved in reviewing algebra for factoring method.
Step 1: Rewrite the expression so that consecutive terms have a common factor.
Step 2: Find the common factor of the consecutive terms
Step 3: Group the common factor
Completing the Square method
For some of the equation we couldn’t find common factors easily. To solve such a equation we use this method.
Rules for factor the quadratic equation by completing the square method:
If the quadratic equation in the form of ax2+bx+c=0
Step 1: If ‘a’ is does not equal to1, divide each side by the value of ‘a’ (coefficient of x2 is ‘a’).
Step 2: Rewrite the given equation with the constant term on the right side.
Step 3: Complete the square by adding the square of one half of coefficient of x to both sides.
Step 4: Write the left hand side as square and then simplify the right hand side.
Step 5: Compare and solve.
Factoring by quadratic method:
We have the quadratic formula for solving the equation
If the equation is in the form of ax2+bx+c=0
Roots = `(-b+-sqrt(b^2-4ac))/(2a)`
Review- algebra factoring with example problems
x2-10x+24=0
Solution:
Step 1: Multiply the coefficient of x2 and the constant term,
1*24 =24 (product term)
Step 2: Find the factors for the product term
24 --- > -6 *-4 = 24 (factors -6 and -4)
-6-4 = -10 (-10 is equal to the coefficient of x)
Step 3: Split the coefficient of x
x2-10x+24=0
x2-6x-4x+24=0
Step 4: Taking the common term x for the first two terms and -4 for the next two terms
x(x-6) -4(x-6) =0
(x-4) (x-6)=0.
Now set (x-4) =0; x=4;
(x-6)=0; x=6.
The roots are x=-6 and 4.