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For What Value of K, is 3 a Zero of the Polynomial 2x2 + X + K? - Mathematics

Sum

For what value of k, is 3 a zero of the polynomial 2x2 + x + k?

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Solution

We know that if  `x = a` is zero polynomial, and then  x - a is a factor of  f(x)

Since 3 is zero of   f (x)

Therefore x - 3 is a factor of  f(x)

Now, we divide `f(x)=2x^2+ x+ k`  by `g (x) = x-3`  to find the value of k

Now, remainder = 0

`k + 21 = 0 `

` k = -21`

Hence, the value of k is = -21

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 33 | Page 60
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