mycollegehive
f(x) = x2 - 4x - 21
Which of the following is an equivalent form of the function f above in which the zeros of f appears as constants or coefficients?
A. f(x) = (x - 2)2 - 25
B. f(x) = x(x - 4) - 21
C. f(x) = (x + 1)(x - 5) - 16
D. f(x) = (x + 3)(x - 7)
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f(x) = x2 - 4x - 21
The above is a quadratic equation and can be simplified by factorization
f(x) = x2 + 3x - 7x - 21
f(x) = (x2 + 3x) - (7x + 21)
f(x) = x(x + 3) - 7(x + 3)
f(x) = (x + 3)(x - 7)
Answer: D
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