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If both the zeroes of a polynomial x2+4x+2p are real and equal then find the value of p.

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1 Answer

4 votes

Answer:

p = 2

Explanation:

If both zeroes at equal, they must be the negative half of the second term. As this term is 4,
-(4)/(2) =-2. This means that each of the zeroes must be -2. This means that the polynomial must be
(x+2)^2

This simplifies to
x^2+4x+4

From the intial problem, we can set up an equation and solve for p.
2p=4\\\\p=2

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