Math, asked by niharb264, 10 months ago

factories it pls 1st answer will be brain liest

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Answered by ItzAditt007

AnswEr:-

Given polynomial:-

$\tt\longrightarrow 21{x}^{2} - 2x + \dfrac{1}{21} .$

And we have to factorize it.

Now,

Let us factorize it by factorization method.

$\\ \rm\longrightarrow Coefficient\ \ of\ \ x^2\times Constant\ \ Term. \\ \\ \tt = \cancel{21}\times \dfrac{1}{\cancel{21}}. \\ \\ \tt = 1. \\ \\ \rm Also, \\ \\ \tt\longrightarrow 1 = 1\times 1. \\ \\ \rm And, \\ \\ \tt\longrightarrow 1 + 1 = 2 = \rm Middle\ Term.\\$

So,

Lets split the middle term:-

$\\ \tt\mapsto21 {x}^{2} - 2x + \dfrac{1}{21} . \\ \\ \\ \tt\mapsto21 {x}^{2} - (1 + 1)x + \frac{1}{21} . \\ \\ \\ \tt\mapsto21 {x}^{2} - x - x + \frac{1}{21}. \\ \\ \\ \tt\mapsto x(21x - 1) - \frac{1}{21} (21x - 1). \\ \\ \\ \tt\mapsto\underline{\underline{(x - \frac{1}{21} )( 21x - 1).}} \\$

$\rule{200}2$

We can also find out the solution of this.

For this it will be equal to zero.

$\\ \tt\leadsto(x - \dfrac{1}{21} )(21x - 1) = 0. \\ \\ \\ \tt\leadsto x - \frac{1}{21} = 0\ \ \: \: or \: \: \: \: 21x - 1 = 0. \\ \\ \\ \tt\leadsto \underline{\underline{x = \frac{1}{21} \: \: \: \: or \: \: \: \: x = \frac{1}{21}. }}\\$

$\rule{200}2$

Answered by pinjaraarifisha

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AnswEr:-

Given polynomial:-

Now,

So,

factories it pls 1st answer will be brain liest