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If One Zero of the Quadratic Polynomial `Kx^2 + 3x + K is 2`, Then Find the Value of K. - Mathematics

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Question

If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.

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Solution

Given: x = 2 is one zero of the quadratic polynomial `kx^2 + 3x + k`
Therefore, it will satisfy the above polynomial.
Now, we have
`k(2)^2 + 3(2) + k = 0`
⇒ 4k + 6 + k = 0
⇒ 5k + 6 = 0 

⇒ k=`-6/5`

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Chapter 2: Polynomials - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
Exercises 3 | Q 5

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