15
practice testMultiple Choice

Practice Test

Question 15 • Algebra 2 with Probability

Which second degree polynomial function has a leading coefficient of 2 and roots negative 3 and 5 ?

Answer
A
f of x is equal to 2 x squared plus 4 x minus 30
B
f of x is equal to 2 x squared minus 2 x minus 15
C
f of x is equal to 2 x squared plus 2 x minus 15
D
f of x is equal to 2 x squared minus 4 x minus 30

Explanation

A quadratic with roots −3 and 5 has factors (x + 3)(x − 5). To make the leading coefficient 2, multiply by 2: 2(x + 3)(x − 5) = 2x² − 4x − 30. Therefore, the function is choice A, f(x) = 2x² − 4x − 30.

AI-written and checked against the verified answer.

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