Multiple choice

Which of the following quadratic polynomials has zeroes as 1/4 and - 1.

  1. 4x2 + 3x -1

  2. 4x2 - 3x - 1

  3. 4x2 - 3x + 1

  4. 4x2 + 3x + 1
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A Correct answer
Explanation

The polynomial will be of the form a((x - (1/4))(x +1)) On simplifying, and putting a = 4, we get the required polynomial as  4x2 + 3x - 1 Hence, option (1 )is correct.

AI explanation

If the zeroes of a quadratic are 1/4 and –1, the sum of zeroes is 1/4–1 = –3/4 and the product is 1/4×(–1) = –1/4. Using the form x² – (sum)x + (product), we get x² + (3/4)x – 1/4, and multiplying through by 4 to clear fractions gives 4x² + 3x – 1.

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