Writing Quadratic Functions

Question

Write a quadratic function f whose zeros are 3 and 11

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Can't begin to understand how to do this.

f(x)=

Answer 1

Not hard. Use the factored form:

f(x) = a(x-p)(x-q)

where p and q are the zeros: that is, p = 3, q = 11. The constant a can be any real number, so choose a = 1. Multiply it all out to put it into standard form.