Question

If the zeros of a quadratic function are 3 and 8, what are the factors of the function? 3and (x – 3) B. (X- 8) and (x + 3) O C. (X + 8) and (x + 3) 00. (X - 8) and (x-3) Reset Next​

Answer 1

Answer:  Choice D

(x - 8) and (x - 3)

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Explanation:

The term "root" is the same as "zeros of a function".

If 3 is a root, then x = 3 leads to x-3 = 0 after subtracting 3 from both sides.

If 8 is a root, then x = 8 leads to x-8 = 0 for similar reasoning

Use of the zero product property allows us to combine those two rules into the following

(x-3)(x-8) = 0

This shows that the two factors are (x-8) and (x-3)

The order of the factors doesn't matter because we can multiply two numbers in any order.