Math, asked by aditya2019, 1 year ago

find the zeros of polynomial 3x^2 + 4x- 4 and verify its relationship with coefficients​

Answers

Answered by tanushreep
2

Answer:

Step-by-step explanation:

Attachments:

aditya2019: answer incomplete
Answered by Jeniyaa
13

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3x {}^{2}  + 4x  - 4

 =  > 3x {}^{2}  + 6x - 2x - 4

 =  > 3x(x + 2) - 2(x + 2)

 =  > (3x - 2)(x + 2)

 =  > x =  \frac{2}{3} or \: x =  - 2

Verification:--

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

 =  >  \frac{2}{3}   - 2 =   \frac{ - 4}{3}

 =  >  \frac{2 - 6}{3}   =  \frac{ - 4}{3}

 =  >  \frac{ - 4}{3}  =  \frac{ - 4}{3}

Now,

 \alpha . \beta =  \frac{c}{a}

 =  >  \frac{2}{3} .( - 2) =  \frac{ - 4}{3}

 =  >  \frac{ - 4}{3}  =  \frac{ - 4}{3}

Hence,relationship of zeroes with its coefficient is verified.

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