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AssignmentMultiple Select

Solving Quadratic Equations: Zero Product Property

Question 6 • FL-1200710-Mathematics for College Algebra A

Which functions have real zeros at 1 and 4? Check all that apply.

Answer
A
f(x) = x2 + x + 4
B
f(x) = x2 – 5x + 4
C
f(x) = x2 + 3x – 4
D
f(x) = –2x2 + 10x – 8
E
f(x) = –4x2 – 16x – 1

Explanation

A function has zeros at 1 and 4 if it equals 0 when x = 1 and when x = 4. Choice B factors as (x − 1)(x − 4), so both values make it zero. Choice D is −2 times (x − 1)(x − 4), which has the same zeros. The other functions do not equal zero at both 1 and 4.

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