Find the zeroes of the following polynomial: √ 3 x^ 2 + 10 x + 7 √ 3
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Answer:
The zeros are x=-\frac{7}{\sqrt {3}},-\sqrt {3}
Step-by-step explanation:
Given : Expression \sqrt { 3 } x ^ { 2 } + 10 x + 7 \sqrt { 3 }
To find : The zeros of the expression?
Solution :
Quadratic expression \sqrt { 3 } x ^ { 2 } + 10 x + 7 \sqrt { 3 }=0
We solve the quadratic by splitting middle term split,
=\sqrt { 3 } x ^ { 2 } + 3 x + 7 x + 7 \sqrt { 3 }
=\sqrt { 3 } x ( x + \sqrt { 3 } ) + 7 ( x + \sqrt { 3 } ) }
=(\sqrt {3}x+7)(x+\sqrt {3})
Therefore, The zeros are x=-\frac{7}{\sqrt {3}},-\sqrt {3}
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