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A quadratic polynomial whose zeros are −3 and 5 is:

Competition practiceAlgebra

A $x^{2} - 2 x - 15$
B $x^{2} + 2 x - 15$
C $x^{2} - 2 x + 15$
D $x^{2} + 8 x + 15$

Step-by-Step Solution

Sum of zeros = −3 + 5 = 2, product = −

3 \times 5 = - 15

. Polynomial =

x^{2}

− (sum)

x

+ product =

x^{2} - 2 x - 15

.

Answer: A)

x^{2} - 2 x - 15

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