Question

Q. 5. A quadratic polynomial whose sum 1m
of the zeroes is 2 and product is 1 is given
by
(A) X2-2x+1
(B) x2+2x+1
(C) x2+2x-1
(D) x2-2x-1
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Answer 1

Answer:

answer is A

Explanation:

I solved it..incase any doubts .. Comment'on it ...or else if any method if you know please share .. or if it is wrong please correct it ....

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Answer 2

Question :

Q5) A Quadratic polynomial whose sum of the zeros is 2 and products is 1 is given by.

To find :

• The equation of Quadratic equation=?

Given :

$\large\green\star{\rm{Sum= \dfrac{-b}{a}=2}}$

$\large\green\star{\rm{Product = \dfrac{c}{a} =1 }}$

Formula :

$\large\blue \bigstar \: \boxed{ \underline{ \bf{ {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \: \: \: \: ......formation \: of \: quadratic \: equation}}}$

Solution :

• By using formation of Quadratic equation :

$\\ \implies \large \bf \: {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

$\\ \implies \large \bf \: {x}^{2} - (2)x + 1 = 0$

$\\ \implies \large \bf \: {x}^{2} - 2x + 1 = 0$

$\large \boxed{ \boxed{ \underline{ \bf{the \: quadratic \: equation \: will \: be \: (a) \mapsto{x}^{2} - 2x + 1 = 0}}}}$