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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be the zeros of a quadratic polynomial whose leading coefficient is 1. Which of the following is the polynomial in expanded standard form? a)
x
2
+
(
α
+
β
)
x
+
α
β
x^2+(\alpha+\beta)x+\alpha\beta
x
2
+
(
α
+
β
)
x
+
α
β
b)
x
2
−
(
α
+
β
)
x
+
α
β
x^2-(\alpha+\beta)x+\alpha\beta
x
2
−
(
α
+
β
)
x
+
α
β
c)
x
2
−
(
α
β
)
x
+
(
α
+
β
)
x^2-(\alpha\beta)x+(\alpha+\beta)
x
2
−
(
α
β
)
x
+
(
α
+
β
)
d)
x
2
−
(
α
+
β
)
x
−
α
β
x^2-(\alpha+\beta)x-\alpha\beta
x
2
−
(
α
+
β
)
x
−
α
β
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