# A quadratic polynomial, whose zeroes are –3 and 4, is ______. - Mathematics

MCQ
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A quadratic polynomial, whose zeroes are –3 and 4, is ______.

#### Options

• x^2 - x + 12

• x^2 + x + 12

• x^2/2 - x/2 - 6

• 2x^2 + 2x - 24

#### Solution

A quadratic polynomial, whose zeroes are –3 and 4, is x^2/2 - x/2 - 6.

Explanation:

Sum of zeroes, α + β= – 3 + 4 = 1

Product of Zeroes, αβ = – 3 × 4 = –12

x2 – (sum of zeroes)x+(product of zeroes)

= x2 – (α + β)x + (αβ)

= x2 – (1)x + (–12)

= x2 – x – 12

Divide by 2, we get

= x^2/2 - x/2 -12/2

= x^2/2 - x/2 - 6

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 2 Polynomials
Exercise 2.1 | Q 2 | Page 9
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