Question
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
The correct answer is: We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
ANSWER:
Hint:
, where a and b can be real numbers, variables or multiples of both.
We are asked to explain on how the polynomial identities can be used to factorize polynomials and simplify them.
Step 1 of 2:
Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. This can be done with the help of identities, which would speed up the process and make it simple.
Here, the given expression is . This can be written as:
where .
Step 2 of 2:
Substitute the values in the expression for factorization:
Note:
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Related Questions to study
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
How is ( x + y )n obtained from (x + y)n-1
You could also get the value of 
from 
by just multiplying a ( x + y) with .
How is ( x + y )n obtained from (x + y)n-1
You could also get the value of from by just multiplying a ( x + y) with .
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ? 123 + 23
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ? 123 + 23
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
Use polynomial identities to multiply the expressions ?
103 × 97
Use polynomial identities to multiply the expressions ?
103 × 97
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
Use polynomial identities to multiply the expressions ?
18 × 22
Use polynomial identities to multiply the expressions ?
18 × 22
Use polynomial identities to multiply the expressions;
Use polynomial identities to multiply the expressions;
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
