Question

Example-6. Find the quadratic polynomial whose zeroes are 2 and-1/3​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{3x^{2}-5x-2}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$\alpha = 2 \\ \beta = \frac{ -1 }{3} \\ (x - \alpha )(x - \beta ) = 0\\ = )(x - 2)(x - ( \frac{ - 1}{3} ) = 0\\ = )(x - 2)(x + \frac{1}{3} ) = 0 \\ = )(x - 2)( \frac{3x + 1}{3} ) = 0\\ = ) (\frac{3 {x}^{2} - 6x + x - 2}{3} ) = 0 \\ = )3 {x}^{2} - 5x - 2 = 0$

$\huge{\boxed{\boxed{\sf{3x^{2}-5x-2}}}}$

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