Factor a quadratic expression to reveal the zeros of the function it defines

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HiSET › Factor a quadratic expression to reveal the zeros of the function it defines

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A quadratic function has two zeroes, 3 and 7. What could this function be?

$f(x) = x^{2} - 10x+ 21$

CORRECT

$f(x) = x^{2} + 10x+ 21$

$f(x) = x^{2} - 4x+ 21$

$f(x) = x^{2} + 4x+ 21$

None of the other choices gives the correct response.

A polynomial function with zeroes 3 and 7 has as its factors and . The function is given to be quadratic, so this function is

Apply the FOIL method to rewrite the polynomial:

$f(x) = x^{2}-3x-7x+21$

Collect like terms:

$f(x) = x^{2}-10x+21$ ,

the correct choice.