Mathematics: Sum of the zeros of the polynomials x^2-2x+1 is equal to the sum of the zeros of the polynomial x^3-2x^2+x , then find the product of all three zeros of the second polynomial . pls me find the method .the answer is 0

Sum of the zeros of the polynomials x^2-2x+1 is

Ответ:

jose477

13.03.2022

$x^2-2x+1=0\\\\x^2-x-x+1=0\\\\x(x-1)-1(x-1)=0\\\\(x-1)(x-1)=0\iff x-1=0\ \ \ |+1\\\\x=1\leftarrow\text{ the double zero}\\\\\text{The sum of the zeros:}\ 1+1=2$

$x^3-2x^2+x=0\\\\x(x^2-2x+1)=0\\\\x(x-1)^2=0\iff x=0\ \vee\ x=1\leftarrow\text{the double zero}\\\\\text{The sum of the zeros:}\ 0+1+1=2$

$\text{CORRECT!}$

$\text{The product of all three zeros of the second polynominal:}\\\\0\cdot1\cdot1=0$

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Ответ:

milkshakegrande101

19.02.2021

Mathematics

B, D, F, E, C, A

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Sum of the zeros of the polynomials x^2-2x+1 is equal to the sum of the zeros of the polynomial x^3-2x^2+x , then find the product of all three zeros of the second polynomial . pls me find the method .the answer is 0

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