Question

factorise : 2x² + 7x+3
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Answer 1

Answer:

Given

2x²+7x+3

2x²+x(6+1)+3

2x²+6x+x+3

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

(x+3)(2x+1)

Answer 2

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

= 2x^2 = 6x+x+3

= 2x(×+3) + (x+3)

remove x+3 as common factor

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

• thus x+3 and 2x+1 are the factors of the polynomial

2x^2 + 7x + 3

HOPE IT IS HELPFUL