Question

# Explain how to use a polynomial identity to factor .

## 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 values, variables or multiples of both.

We are asked to explain how to use a polynomial identity to factor .

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.

The given polynomial is . It can be written as: .

Step 2 of 2:

Substitute the values of in the identity;

Thus, the factor is:

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 factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### How are Pascal’s triangle and binomial expansion such as related?

### How are Pascal’s triangle and binomial expansion such as related?

### Explain how to use a polynomial identity to factor .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### Explain how to use a polynomial identity to factor .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Explain why the middle term is 10x.

### Explain why the middle term is 10x.

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### How can you use polynomial identities to rewrite expressions efficiently ?

### How can you use polynomial identities to rewrite expressions efficiently ?

### Use binomial theorem to expand

### Use binomial theorem to expand

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use binomial theorem to expand .

### Use binomial theorem to expand .

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### How are Pascal’s triangle and binomial expansion such as (a + b)^{5} related?

You can find the expansion of (x + y)n using both Pascal’s triangle and binomial expansion.

### How are Pascal’s triangle and binomial expansion such as (a + b)^{5} related?

You can find the expansion of (x + y)n using both Pascal’s triangle and binomial expansion.

### Use binomial theorem to expand .

### Use binomial theorem to expand .

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Explain why the middle term is 10x.

In the Binomial Expansion's middle term, in the expansion of (a + b)n, there are (n + 1) terms. Therefore, we can write the middle term or terms of (a + b)n based on the value of n. It follows that there will only be one middle term if n is even and two middle terms if n is odd.

The binomial expansions of (x + y)n are used to find specific terms, such as the term independent of x or y.

Practice Questions

1. Find the expansion of (9x - 2y)12's coefficient of x5y7.

2. In the expansion of (2x - y)11, locate the 8th term.

### Explain why the middle term is 10x.

In the Binomial Expansion's middle term, in the expansion of (a + b)n, there are (n + 1) terms. Therefore, we can write the middle term or terms of (a + b)n based on the value of n. It follows that there will only be one middle term if n is even and two middle terms if n is odd.

The binomial expansions of (x + y)n are used to find specific terms, such as the term independent of x or y.

Practice Questions

1. Find the expansion of (9x - 2y)12's coefficient of x5y7.

2. In the expansion of (2x - y)11, locate the 8th term.