Question

find a quadratic polynomial with given as sum and product of its zeroes. _1/2,_3 ​

Answer 1

Answer:

Mark me as brainliest please

Answer 2

Correct Question :

Find a quadratic polynomial whose sum and product of its zeroes are 1/2 & 3.

AnswEr :

⠀⠀⠀⠀⠀⠀⠀

$\bullet\ \ \dfrac{1}{2} \ \& \ 3$

$\implies\sf Sum \ of \ Zeroes = \dfrac{1}{2} \ and \ \\\\\\\implies\sf Product \ of \ Zeroes = 3$

⠀⠀⠀⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀☯ By using Quadratic Equation Formula :

$\implies$ x² - {sum of roots} x + {Product of roots} = 0

$\implies\sf x^2- \dfrac{1}{2} x + 3 = 0 \\\\:\implies\sf 2x^2 - x + 6 = 0$

${\therefore} \ \sf{Hence, \ required \ Quadratic \ polynomial \ is \ 2x^2 - x + 6}$

⠀⠀⠀⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\bf{\mid{\overline{\underline{\bigstar\: More \ Information \ : }}}}\mid}$

• Expression which have more than two algebraic terms is known as Polynomials.

⠀⠀⠀⠀⠀⠀⠀

• ${\sf{Product\;of\;zeros\;( \alpha \beta ) = \bf{{}^{\text {c}}\!/{}_{\text{a}}}}}$⠀

⠀⠀⠀⠀⠀⠀⠀

• ${\sf{Sum\;of\;zeros\;( \alpha + \beta ) = \bf{{}^{\text {-b}}\!/{}_{\text{a}}}}}$⠀