Question

Find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and its coefficients.
$3 {x}^{2} - x$

Answer 1

heya !!

here is ur answer

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Given. quadratic polynomial :-

$3{x}^{2} - x$

↪ let's take X as common

X ( 3x -1 ) = 0

X = 0

3x - 1 = 0

3x = 1

X = 1/3

verifying the relation between zeros and coefficients

$\alpha + \beta = - \frac{b}{a}$


here

$\alpha = 0 \\ \\ \beta = \frac{1}{3}$

♦ 0+ 1/3 = 1/3 = -b/a



♦ b = -1


♦ a = 3

hence verified .


$\alpha \times \beta = \frac{c}{a}$

♦ 0 × -1 /3 = 0 /3

♦ a = 3 ; c = 0

hence verified .

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hope it helps u..!!

Answer 2

hello friend

you answer is in the given attachment

I hope you will be satisfied with my answer

thank you

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