Question

Find a qiadratic polynomial whose sum and product of zeroes are -3 and 2 respectively​

Answer 1

Answer:

Appropriate Question :-

• Find a quadratic polynomial whose sum and product of zeroes are - 3 and 2 respectively.

Given :-

• A polynomial whose sum and product of zeroes are - 3 and 2 respectively.

To Find :-

• What is the quadratic polynomial.

Formula Used :-

$\clubsuit$ Quadratic Polynomial Formula :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{x^2 - (Sum\: of\: Zeroes)x + (Product\: of\: Zeroes)}}}\: \: \bigstar$

Solution :-

Given :

➸ Sum of Zeroes = - 3

➸ Product of Zeroes = 2

According to the question by using the formula we get,

$\footnotesize \implies \bf x^2 - (Sum\: of\: Zeroes)x + (Product\: of\: Zeroes)$

$\implies \sf x^2 - (\alpha + \beta)x + (\alpha\beta)$

$\implies \sf x^2 - (- 3)x + (2)$

$\implies \sf\bold{\red{x^2 + 3x + 2}}$

$\therefore$ The quadratic polynomial is x² + 3x + 2 .

Answer 2

$the \: \: formula \: is \: x^{2} - \alpha + \beta \: x + \alpha \beta$