Find the zeroes and give the multiplicity.f(x)=4x^{4}+8x^{3}+4x^{2}

Question

Find the zeroes and give the multiplicity.f(x)=4x^{4}+8x^{3}+4x^{2}

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Kaylee 2 months 2021-10-16T11:28:23+00:00 1 Answer 0 views 0

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    2021-10-16T11:30:03+00:00

    The answer would be 4x^2(x+1)^2. You first divide by the greatest common factor which is 4x^2. This would leave you with 4x^2(x^2 + 2x + 1). After that, you would factor it out to find the zeroes. You can multiply 1 x 1 to get one and add 1 + 1 to get two. Therefore, you would get 4x^2(x+1)(x+1). However, there are two ones so you can just square it. This would leave you with your final answer of 4x^2(x+1)^2.

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