factorise √3x^2+10x+8√3
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Concept:
Factorization is the method of breaking down a number or expression into its numbers and when we multiply those factors we get the original number or expression.
Given:
√3x² + 10x + 8√3
Find:
We are asked to factorize the given expression.
Solution:
We have,
√3x² + 10x + 8√3,
NOw,
To find the factor,
Use the middle-term splitting method,
i.e.
The factors of Product of coefficient of x² and the constant term should give the middle term i.e. 10x,
So,
NOw,
√3x² + 10x + 8√3
= √3x² + 12x - 2x + 8√3
Now,
Taking common,
i.e.
= √3x² + 12x - 2x + 8√3
= √3x(x + 4√3) - 2(x + 4√3)
NOw,
Again, Taking common,
i.e.
= (x + 4√3) (√3x - 2)
Hence, the factors of the given expression √3x² + 10x + 8√3 are (x + 4√3) (√3x - 2).
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