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A quadratic polynomial whose zeroes are 3 and −2 is:

Competition practiceAlgebra

A $x^{2} - x - 6$
B $x^{2} + x - 6$
C $x^{2} - x + 6$
D $x^{2} + 5 x + 6$

Step-by-Step Solution

Sum of zeroes =

3 + (- 2) = 1

, product =

3 \times (- 2) = - 6

. Polynomial =

x^{2}

− (sum)

x

+ product =

x^{2} - x - 6

.

Answer: A)

x^{2} - x - 6

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