Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2? f(x) = 2(x 7)(x 5)(x – 2) f(x) = 2(x – 7)(x – 5)(x 2) f(x) = (x 7)(x 5)(x 5)(x – 2) f(x) = (x – 7)(x – 5)(x – 5)(x 2)

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10-05-2022
Mathematics

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Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2? f(x) = 2(x 7)(x 5)(x – 2) f(x) = 2(x – 7)(x – 5)(x 2) f(x) = (x 7)(x 5)(x 5)(x – 2) f(x) = (x – 7)(x – 5)(x – 5)(x 2)

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ProfChris1 ProfChris1 · Answer 1 · 2022-05-16T11:55:17+02:00

The polynomial function we can actually see that has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2 is: f(x) = (x – 7)(x – 5)(x – 5)(x + 2).

What is polynomial function?

Polynomial function actually refers to the function that has only non-negative integer powers. Also, it can also be a function with positive integer exponents only.

Thus, f(x) = (x – 7)(x – 5)(x – 5)(x + 2) is the correct polynomial function.

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