The zeroes of the polynomial p (x)=2x square +5x-3 are what
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Hi,
Here is your answer
Given:
p(x)=2x²+5x-3
To Find:
Zeroes of p(x)
Solution:
Finding the zeroes of the polynomial by splitting the middle term
2x²+5x-3=0
2x²+6x-1x-3=0
Taking the common factors out
2x(x+3)-1(x+3)=0
(x+3)(2x-1)=0
Either x+3=0
x= -3
Or
2x-1=0
x=1/2
Therefore the zeroes of the polynomial are -3 and 1/2
Notes:
The zeroes of a polynomial can be found out by 3 methods
- Factorisation method
- Splitting the middle term
- Completing the square
Hope this helps you.
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