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For What Value of K, −4 is a Zero of the Polynomial X2 − X − (2k + 2)? - Mathematics

Sum

For what value of k, −4 is a zero of the polynomial x2 − x − (2k + 2)?

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Solution

We know that if  x = a is zero polynomial then  x - 2 is a factor of f(x)

Since  -4  is zero of  f(x)

Therefore  x+ 4  is a factor of  f(x)

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

Now, Remainder  = 0

` -2k + 18 =0`

` - 2k = -18`

` k = (-18)/(-2)`

`k = (cancel(-)18)/(cancel(-)2)`

k = 9 

Hence, the value of k is  9 

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

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 29 | Page 60
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