Question

The sum and the product of the zeroes of the quadratic polynomials are 1/2 and -3 respectively what is the quadratic polynomial

Answer 1

Get ur answer for this question

Answer 2

Step-by-step explanation:

AnswEr:

$\bold{\underline{\sf{\red{\;\;Given:-\;\;}}}}$

Sum of Zeroes = $\sf\dfrac{-1}{\;\;2}$

Product of Zeroes = -3

$:\implies\sf\;Sum \; of \; Zeroes\; = (\alpha + \beta)$

$:\implies\sf\; Product \; of \;Zeroes\; = (\alpha\;\beta)$

$:\implies\sf(\alpha + \beta) = \dfrac{-1}{\;\;2}$

$:\implies\sf\;(\alpha \; \beta) = -3$

$\rule{150}3$

By using the Formula:-

$:\implies\large{\underline{\boxed{\sf{\pink{x^2 - (\alpha + \beta)x + (\alpha\;\beta)}}}}}$

Now, Putting Values:-

$:\implies\sf\;x^2 - \dfrac{-1}{\;\;2} + -3$

$:\implies\large{\underline{\boxed{\sf{\pink{2x^2 - x - 6}}}}}$

Therefore, The Required Polynomial is 2x² - x - 6.

$\rule{150}3$