Factoring in Solving Unknown Quantities in Real Life
Solving unknown quantity is the application of algebraic expression, and solving unknown variable is express in the polynomial type of equation.
What is Factoring
Factoring is the method on how to rewrite a polynomial into simpler factors, and by equating these factors to zero.
How to Factor Polynomial
To factor a monomial, binomial and trinomial are to rewrite the equation into the product of two binomials. It means that we will rewrite the trinomial in the form (a + b) (a + c). It is important as fundamental skills in algebra in solving complex problems. You can factor out the polynomials using Greatest Common Factor
Greatest Common Factor
Greatest common Factor (GCF) of a set of numbers or varaibles that is the largest number possible factor of all those numbers.
Steps on Finding Greatest Common Factor
List the prime factors of each number.
Identify the common prime factor — that is, every prime factor that’s a factor of every number in the set.
Multiply all the common prime numbers.
The result is the GCF.
Key Points on Factoring
For Monomial
First, list down all the posible common factor of teach monomial.
The greatest common factor is also the common monomial factor of set of monomial.
Polynomials
First, think a factor for both first and last term.
If all the sign of each terms are positive, the sign must be all positive for both binomial factor. For example, (x²+5x+6) = (x+2)(x+3).
If the sign of first and last term of the trinomials are positive, the sign of the two binomial factor are both negative. For example, (x²-5x+6) = (x-2)(x-3).
Apply the reveres FOIL method, in factoring for quadratic trinomials.
Always check first the GCF of the first terms and last terms. This is the first step in factoring.
Factors are always in written in lowest term.
Don't forget to double check the factor.
Application in Real Life for Solving Unknown Quantities
Factoring is one of the commonly used in solving unknown variable for quadratic equation. Factoring also used to simplify equations in alegbra specially when you are in higher mathematics including calculus and physics.
In real life, everytime you devide and simplify equations, it is an application of factoring. Common applications include: dividing something into equal pieces, exchanging money in terms of regrouping of coins and bills, comparing prices from market analysis and understanding time and making calculations during travel (physics).
Answers & Comments
Verified answer
Factoring in Solving Unknown Quantities in Real Life
Solving unknown quantity is the application of algebraic expression, and solving unknown variable is express in the polynomial type of equation.
What is Factoring
Factoring is the method on how to rewrite a polynomial into simpler factors, and by equating these factors to zero.
How to Factor Polynomial
To factor a monomial, binomial and trinomial are to rewrite the equation into the product of two binomials. It means that we will rewrite the trinomial in the form (a + b) (a + c). It is important as fundamental skills in algebra in solving complex problems. You can factor out the polynomials using Greatest Common Factor
Greatest Common Factor
Greatest common Factor (GCF) of a set of numbers or varaibles that is the largest number possible factor of all those numbers.
Steps on Finding Greatest Common Factor
Key Points on Factoring
For Monomial
Polynomials
Application in Real Life for Solving Unknown Quantities
Factoring is one of the commonly used in solving unknown variable for quadratic equation. Factoring also used to simplify equations in alegbra specially when you are in higher mathematics including calculus and physics.
In real life, everytime you devide and simplify equations, it is an application of factoring. Common applications include: dividing something into equal pieces, exchanging money in terms of regrouping of coins and bills, comparing prices from market analysis and understanding time and making calculations during travel (physics).
Learn more about factoring here at brainly.ph/question/17527794
#CarryOnLearning
#BRAINLYFAST