Factorize x2 + 5x + 6

Q. Factorize x2 + 5x + 6

Answer: (x+3) (x+2)

A factor is a quantity that reduces another number by itself without leaving a residue. To put it another way, if multiplying two entire numbers produces a product, the numbers we’re combining are variables of the product since they’re divisible by it.

Factorization, also known as factoring, is the process of representing an integer or the other quantitative object as a product of several factors, which are generally smaller or easier objects that are the same.

Given a polynomial

x2 + 5x + 6 

Let’s use the dividing the middle term technique to factorize this polynomial.

Polynomials can be factored in by separating the middle term:

We must discover two numbers, a and b, such that a + b equals 5 and ab equals 6.

We get a = 3 and b = 2 after solving this.

As a result, the preceding statement can be expressed as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x + 3)(x + 2)

Thus, the algebraic x2 + 5x + 6 has elements = (x+3)(x+2).