Question

Find the sum and product of zeroes of the quadratic polynomial 3x²-x-4​

Answer 1

Answer :-

• Sum of zeroes = 1/3

• Product of zeroes = -4/3

Given :-

• 3x² - x - 4 is a quadratic polynomial.

To Find :-

• The sum and product of zeroes of the given quadratic polynomial .

Step By Step Explanation :-

Polynomial => 3x² - x - 4

As we know ⤵

$\bigstar\boxed{ \underline{ \tt{ \pink{Sum \: of \: zeroes = \cfrac{ - b}{a} }}}}$

$\bigstar \boxed{ \underline{ \tt{ \purple{Product \: of \: zeroes = \cfrac{c}{a} }}}}$

So let's do it !!

Sum of zeroes will be ⤵

$\sf\: Sum \: of \: zeroes = \cfrac{ - ( - 1)}{3} \implies \cfrac{1}{3}$

Product of zeroes will be ⤵

$\sf \: Product \: of \: zeroes = \cfrac{ - 4}{3}$

Therefore sum of zeroes => 1/3 and product of zeroes => -4/3

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