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If X2 + X + 1 is a Factor of the Polynomial 3x3 + 8x2 + 8x + 3 + 5k, Then the Value of K is - Mathematics

MCQ

If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is

Options

  • 0

  • 2/5

  • 5/2

  • -1

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Solution

Let  `f(x) = 3x^2 + 8x^2 + 8x+ 8x + 3 + 5k` be the given polynomial,

Since  `(x^2 + x + 1)`is the factor of f(x). Therefore, re`maider will be zero.

Now,

Now,

`-2 + 5k = 0`

       `k=2/5`

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

RD Sharma Mathematics for Class 9
Chapter 6 Factorisation of Polynomials
Q 17 | Page 35
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