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What Should Be Added to the Polynomial X2 − 5x + 4, So that 3 is the Zero of the Resulting Polynomial? - Mathematics

MCQ

What should be added to the polynomial x2 − 5x + 4, so that 3 is the zero of the resulting polynomial?

Options

  • 1

  • 2

  • 4

  • 5

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Solution

If `x = alpha`, is a zero of a polynomial then `x -alpha `is a factor of  `f(x)`

Since 3 is the zero of the polynomial , f(x) = x2 − 5x + 4,

Therefore `x - 3`is a factor of  `f(x)`

Now, we divide`f(x) = x^2 - 5x + 4 ` by  `(x - 3)` we get

Therefore we should add 2 to the given polynomial

Hence, the correct choice is (b).

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

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 24 | Page 64
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