Question

2 points
Q.6The quadratic polynomial
whose sum and product of zeroes
are O and - 3 respectively
O x2-3
O x2-3x
O x2-3x - 3
O x2 + 3​

Answer 1

Answer:

Your answer is 0*2-3x-3

Answer 2

Answer:

Appropriate Question :-

• The quadratic polynomial whose sum and product of zeroes are 3 and - 3 respectively.

● x² - 3

● x² - 3x

● x² - 3x - 3

● x² + 3

Given :-

• The sum and product of zeroes are 3 and - 3 respectively.

To Find :-

• What is the quadratic polynomial.

Formula Used :-

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

Solution :-

Given :

❒ Sum of Roots (α + β) = 3

❒ Product of Roots (αβ) = - 3

According to the question by using the formula we get,

$\small\longrightarrow \sf\bold{\green{x^2 - (Sum\: of\: Roots)x + (Product\: of\: Roots)}}$

$\longrightarrow \sf\bold{\purple{x^2 - (\alpha + \beta)x + (\alpha\beta)}}$

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

$\longrightarrow \sf\bold{\red{x^2 - 3x - 3}}$

${\small{\bold{\underline{\therefore\: The\: required\: quadratic polynomial\: is\: x^2 - 3x - 3\: .}}}}$

Hence, the correct options is option no (2) x² - 3x - 3.