Question

find the sum and product of the zeroes of the polynomial p(x)=x2-4x+1​

Answer 1

GiveN :-

• p(x) = x² - 4x + 1

To FinD :-

• Sum and product of the zeroes of the polynomial

SolutioN :-

Here

• a = 1
• b = - 4
• c = 1

$\longrightarrow \boxed{ \bf \orange{Sum \: of \: zeroes = \frac{ - b}{a}}} \\ \\ \longrightarrow \sf Sum \: of \: zeroes = \frac{ - ( - 4)}{1} \\ \\ \longrightarrow \sf Sum \: of \: zeroes =4$

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$\longrightarrow \boxed{ \bf\green{ Product \: of \: zeroes = \frac{c}{a}}} \\ \\\longrightarrow \sf Product \: of \: zeroes = \frac{1}{1} \\ \\ \longrightarrow \sf Product \: of \: zeroes =1$