Factorise the Quadratic Equation

Factorise the Quadratic Equation 2x² + 7X +3?

Given:

2x² + 7x + 3 

Solution

We need to figure out what the factors are in the given equation.

Let’s use the splitting the middle term method to factorise this polynomial.

Polynomials can be factored in by separating the middle term:

We must discover two numbers, ‘a’ and ‘b’, such that a + b = 7 and ab = 6 using this strategy.

As a result of resolving this, we get:

a = 6

b = 1

As a result, the preceding expression can be written as:

2x2 + 7x + 3 = 2x2 + 6x + x + 3 

= 2x (x + 3) + (x + 3) 

removing (x + 3) from the equation as a common component

=(x + 3) (2x + 1)

Thus, the polynomial 2x2 + 7x +3 has factors of x+3 and 2x+1.