To check: 7 multiplied by x is 7x and 7 multiplied by -1 is -7 hence, 7 (x-1) is equals to 7x-7.
Step-by-step explanation:
Factoring a Polynomial Expression
Factorization, often known as factoring, is the process of breaking down a polynomial into a product of smaller polynomials. You could then multiply these factors together to produce the original polynomial if you like (this is a great way to check yourself on your factoring skills).
3 and 6 are two factors of 18, for example, because 3 times 6 equals 18. One method for solving a polynomial is to factor it into the product of two binomials.
Always look for the greatest common factor (GCF) in a polynomial, no matter how many terms it has. The biggest phrase that will go into all of the terms is literally the greatest common factor. Using the GCF is equivalent to working backward from the distributive property.
You can use the FOIL method to multiply binomials backward if the equation is a trinomial (it has three terms).
Look for the difference of squares, the difference of cubes, or the sum of cubes if it's a binomial.
Answers & Comments
Answer:
The factors are 7 and (x-1)
To check: 7 multiplied by x is 7x and 7 multiplied by -1 is -7 hence, 7 (x-1) is equals to 7x-7.
Step-by-step explanation:
Factoring a Polynomial Expression
Factorization, often known as factoring, is the process of breaking down a polynomial into a product of smaller polynomials. You could then multiply these factors together to produce the original polynomial if you like (this is a great way to check yourself on your factoring skills).
3 and 6 are two factors of 18, for example, because 3 times 6 equals 18. One method for solving a polynomial is to factor it into the product of two binomials.
Always look for the greatest common factor (GCF) in a polynomial, no matter how many terms it has. The biggest phrase that will go into all of the terms is literally the greatest common factor. Using the GCF is equivalent to working backward from the distributive property.
You can use the FOIL method to multiply binomials backward if the equation is a trinomial (it has three terms).
Look for the difference of squares, the difference of cubes, or the sum of cubes if it's a binomial.