Answer:
here is your answer according to your question.
Step-by-step explanation:
plz mark me as brainlist
Given :
[tex]\small \mapsto \bf Sum\: Of\: Zeroes\: (\alpha + \beta) =\: 4\\[/tex]
[tex]\small \mapsto \bf Product\: Of\: Zeroes\: (\alpha\beta) =\: - 8\\[/tex]
As we know that :
[tex]\small \bigstar \: \: \sf\boxed{\bold{x^2 - (Sum\: Of\: Zeroes)x + (Product\: Of\: Zeroes)}}\: \: \: \bigstar\\[/tex]
According to the question by using the formula we get,
[tex]\small \implies \sf\boxed{\bold{x^2 - (Sum\: Of\: Zeroes)x + (Product\: Of\: Zeroes)}}\\[/tex]
[tex]\implies \sf\bold{x^2 - (\alpha + \beta)x + (\alpha\beta)}\\[/tex]
We Have :
[tex]\bullet \: \: \sf\bold{\alpha + \beta =\: 4}\\[/tex]
[tex]\bullet \: \: \sf\bold{\alpha\beta =\: - 8}\\[/tex]
So, by putting those values we get,
[tex]\implies \sf x^2 - (4)x + (- 8)\\[/tex]
[tex]\implies \sf\bold{\underline{x^2 - 4x - 8}}\\[/tex]
[tex]\small \sf\boxed{\bold{\therefore\: The\: required\: quadratic\: polynomial\: is\: x^2 - 4x - 8\: .}}\\[/tex]
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
here is your answer according to your question.
Step-by-step explanation:
plz mark me as brainlist
Answer:
Correct Question :-
Given :-
To Find :-
Solution :-
Given :
[tex]\small \mapsto \bf Sum\: Of\: Zeroes\: (\alpha + \beta) =\: 4\\[/tex]
[tex]\small \mapsto \bf Product\: Of\: Zeroes\: (\alpha\beta) =\: - 8\\[/tex]
As we know that :
[tex]\small \bigstar \: \: \sf\boxed{\bold{x^2 - (Sum\: Of\: Zeroes)x + (Product\: Of\: Zeroes)}}\: \: \: \bigstar\\[/tex]
According to the question by using the formula we get,
[tex]\small \implies \sf\boxed{\bold{x^2 - (Sum\: Of\: Zeroes)x + (Product\: Of\: Zeroes)}}\\[/tex]
[tex]\implies \sf\bold{x^2 - (\alpha + \beta)x + (\alpha\beta)}\\[/tex]
We Have :
[tex]\bullet \: \: \sf\bold{\alpha + \beta =\: 4}\\[/tex]
[tex]\bullet \: \: \sf\bold{\alpha\beta =\: - 8}\\[/tex]
So, by putting those values we get,
[tex]\implies \sf x^2 - (4)x + (- 8)\\[/tex]
[tex]\implies \sf\bold{\underline{x^2 - 4x - 8}}\\[/tex]
[tex]\small \sf\boxed{\bold{\therefore\: The\: required\: quadratic\: polynomial\: is\: x^2 - 4x - 8\: .}}\\[/tex]