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A quadratic polynomial has zeroes 3 and −5. Which polynomial is it?

Competition practiceAlgebra

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

Step-by-Step Solution

Sum =

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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