Factorise 2x 2 + x -3
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Step-by-step explanation:
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
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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