The zeros of a quadratic function are –7 and 3. Which of the following could be the function? Select all that apply:
2 answers:
Answer:
First option: f(x)=x^2+4x-21
AND
Fourth option: f(x)=5x^2+20x-105
Step-by-step explanation:
All you have to do is do the quadratic equation backwards
If the zeros are x=-7 and x=3, the equation would look like ->
(x+7)(x-3)
Now distribute it
x(x-3)+7(x-3)
x^2-3x+7x-21
x^2+4x-21
The Fourth option is also correct. Just divide the whole equation by 5 and you will get the same exact equation as the first option.
Step-by-step explanation:
f(x) = (x+7)(x-3)
= x²+4x-21 ... (option A)
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Hope this helps!!