Similarly to prime numbers, which do not have any factors other than 1 and themselves, the trinomials that cannot be factored are called **prime trinomials**.

Contents

- 1 What are the types of trinomial?
- 2 Are all Trinomials are Factorable?
- 3 What is the opposite of factoring Trinomials?
- 4 What is a prime trinomial?
- 5 What is not a trinomial?
- 6 How do you write a trinomial in factored form?
- 7 How can you tell if a Trinomial is not Factorable?
- 8 Are Trinomials and quadratics the same?
- 9 What does no factor mean?
- 10 What is a cubic trinomial?
- 11 What is prime factoring?
- 12 What does prime mean when factoring?

## What are the types of trinomial?

Trinomials – Trinomials are the algebraic expressions with three unlike terms, hence the name “Tri”nomial. For example- 3x + 5x^{2} – 6x^{3} is a trinomial. It is due to the presence of three, unlike terms, namely, 3x, 5x^{2} and 6x^{3}. Likewise, 12pq + 4x^{2} – 10 is a trinomial.

## Are all Trinomials are Factorable?

If Δ=0 then ax2+bx+c is a perfect square trinomial, expressible as (√ax+√c)2 or as (√ax−√c)2. If Δ<0 then ax2+bx+c has two distinct Complex zeros and is not factorable over the reals. It is factorable if you allow Complex coefficients.

## What is the opposite of factoring Trinomials?

By Mark Zegarelli. In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them.

## What is a prime trinomial?

A prime trinomial is a trinomial that cannot be factored over the rational numbers. That is, if a trinomial is prime, then it cannot be written as the product of two binomials with rational coefficients and constants.

## What is not a trinomial?

An algebraic expression consisting of three terms is called a trinomial expression. So, (a+b)(x2+y2+z2) is not a trinomial.

## How do you write a trinomial in factored form?

Factoring Trinomials of the Form x^{2} + bx + c and x^{2} – bx + c

- Write out all the pairs of numbers which can be multiplied to produce c.
- Add each pair of numbers to find a pair that produce b when added.
- If b > 0, then the factored form of the trinomial is (x + d )(x + e).

## How can you tell if a Trinomial is not Factorable?

The most reliable way I can think of to find out if a polynomial is factorable or not is to plug it into your calculator, and find your zeroes. If those zeroes are weird long decimals (or don’t exist), then you probably can’t factor it. Then, you’d have to use the quadratic formula.

## Are Trinomials and quadratics the same?

A trinomial is a sum of three terms, while a multinomial is more than three. Quadratic is another name for a polynomial of the 2nd degree.

## What does no factor mean?

: something or someone that is not a factor especially: something or someone that does not actively contribute to the production of a result The passing game suffered most as the wide receivers were mostly nonfactors. —

## What is a cubic trinomial?

A cubic trinomial is a trinomial in one variable with a degree of 3.

## What is prime factoring?

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. The number 6 is expressed as 2 × 3 since 3 and 2 are prime numbers. Therefore, the prime factorization of 30 is 2 × 3 × 5.

## What does prime mean when factoring?

A common method of factoring numbers is to completely factor the number into positive prime factors. A prime number is a number whose only positive factors are 1 and itself. For example, 2, 3, 5, and 7 are all examples of prime numbers. Examples of numbers that aren’t prime are 4, 6, and 12 to pick a few.