Question

Find the product of zeroes of the following polynomial · 3x2+x+2

Answer 1

→ Hey Mate,

→ Given Question:-

→ Find the product of zeroes of the following polynomial.

→  3x² + x + 2

→ Solution:-

→ Let f ( x )  = 3x² -x -4

→ x ( 3x - 4 ) + 1 ( 3x - 4)

→ ( 3x - 4 ) ( x + 1 )

→ To find the Zero  of  f( x ) = 0

→  ( 3x - 4 ) = 0

→ or

→ ( x + 1 ) = 0

→ x = 4 / 3  

→ or

→ x = -1

→ so , the Zero of f (x) are 4 / 3 and x = -1

→ Again ,

→ The sum of Zeroes of f ( x )  =

→ 4 / 3 + ( -1 )  = 1/3

→ -b / a

→ ( -coefficient of x ) / ( coefficient of x² )

→ product of zeroes = 4/3  + ( -1 )  = -4 / 3

→ c / a

→ Constant term / coefficient of x²

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