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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?

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity-example-1
User Tabish
by
6.5k points

2 Answers

7 votes

Answer:

D on edge

Explanation:

User DangVarmit
by
7.7k points
10 votes

Answer:

(D)

Explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

User Danielz
by
6.6k points
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