Question

Find a quadratic polynomial if the zeros of it are 2 and -1/3 respectively.

Answer 1

Dear Student:

Given  A quadratic polynomial with zeros 2 and -1/3.

x=2 and x=-1/3

x-2=0 and x+1/3=0

(x-2)(x+1/3)=0

$x^{2} +\frac{1}{3} x-2x-\frac{2}{3} =0$

$x^{2} -\frac{5}{3}x-\frac{2}{3}=0$

$3x^{2}-5x-2=0$

Hence polynomial is $3x^{2}-5x-2$

Hope it helps

Thanks

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Answer 2

HELLO DEAR,

Given  A quadratic polynomial with zeros 2 and -1/3.

x = 2 and x = -1/3

x - 2 = 0 and x + 1/3 = 0

(x - 2)(x + 1/3) = 0

x² + 1/3x - 2x - 2/3 = 0

(3x² + x)/3 - (6x + 2)/3 = 0

3x² + x - 6x - 2 = 0

3x² - 5x - 2 = 0

HENCE ,THE quadratic polynomial if the zeros of it are 2 and -1/3 respectively.
are "3x² - 5x - 2 = 0

I HOPE ITS HELP YOU DEAR,
THANKS