Question

Find the sum and product of the zeroes of the polynomial x^2 - 6x + 5;​

Answer 1

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Answer 2

✯✯ QUESTION ✯✯

Find the sum and product of the zeroes of the polynomial x² - 6x + 5...

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✰✰ ANSWER ✰✰

$\longmapsto\tt\bold{{x}^{2}-6x+5}$

By Splitting Middle Term : -

$\longmapsto\tt{{x}^{2}-(5x+1)+5=0}$

$\longmapsto\tt{{x}^{2}-5x-1x+5=0}$

$\longmapsto\tt{x(x-5)-1(x-5)}$

$\longmapsto\tt{(x-1)(x-5)}$

• x = 1
• x = 5

☛So , 1 and 5 are the zeroes of polynomial x²-6x+5....

_______________________

➮Here : -

• a = 1
• b = -6
• c = 5

★Sum of Zeroes : -

$\longmapsto\tt{\alpha+\beta=\dfrac{-b}{a}}$

$\longmapsto\tt{5+1=\dfrac{-(-6)}{1}}$

$\longmapsto\tt\bold{6=6}$

★Product of Zeroes : -

$\longmapsto\tt{\alpha+\beta=\dfrac{c}{a}}$

$\longmapsto\tt{5\times{1}=\dfrac{5}{1}}$

$\longmapsto\tt\bold{5=5}$

✺ HENCE VERIFIED ✺