Factorise 2x2 + 7x +3?

Given:

2x2 + 7x +3

Solution:

We need to find the factors of the given equation

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

In this technique we need to find two numbers ‘a’ and ‘b’ such that a + b =7 and ab = 6.

On solving this we obtain, a = 6 and b = 1

Thus, the above expression can be written as:

2x2 + 7x +3

= 2x2 + 6x + x + 3

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

Removing ( x + 3 ) as a common factor

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

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

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