Question

Find the zeroes and give the multiplicity.D" id="TexFormula1" title="f(x)=4x^{4}+8x^{3}+4x^{2}" alt="f(x)=4x^{4}+8x^{3}+4x^{2}" align="absmiddle" class="latex-formula">

Answer 1

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.