Question

Factorize
2x^2 + 7x +3​

Answer 1

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

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 2x

Answer 2

The answer and step-by-step explanation is given in pic attached:

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