How many distinct real zeros does the polynomial p(x) = x4

SanketS asked Oct 6, 2023

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How many distinct real zeros does the polynomial p(x) = x4 – 4x3 + 4x2 have?

SanketS asked Oct 6, 2023

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22 votes

Answer

The are two distinct real zeros. Their are x = 0 and x = 2

Step-by-step explanation

${x}^(4) - 4 {x}^( 3) + 4 {x}^(2)$

${x}^(2) ( {x}^(2) - 4x + 4)$

${x}^(2) ( {x - 2})^(2) = 0$

x=0 or. x=2

Arpan Das answered Oct 13, 2023

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