Question

x^2 - 3x + 2


factories and tell the 2 zeroes

I will mark the best answer​

Answer 1

AnswEr:

Zeroes of the Given Equation are 1 & 2

$\rule{150}2$

$\longrightarrow\sf\; x^2 - 3x + 2$

$\:\:\:\:\;\:\dag\footnotesize\bold{\underline{\underline{\sf{\purple{Factorising\:by\: Middle\;Term\; splitting\: Method}}}}}$

$\implies\sf\; x^2 - 3x + 2 = 0$

$\implies\sf\; x^2 - 2x - x + 2 = 0$

$\implies\sf\; x(x - 2) -1(x - 2) = 0$

$\implies\sf\red{(x\:-\;2) (x \:-\:1)} = 0$

Now, Factorising the zeroes with zero:

$\implies\sf\; x - 2 = 0$

$\implies\sf\bold\pink{x\:=\;2}$

And,

$\implies\sf\; x - 1 = 0$

$\implies\sf\bold\pink{x\:=\;1}$

$\dag\:\:\small\bold{\underline{\sf{\blue{Hence,\: Zeroes\;of\:the\:Given\: Equation\;are\; 1 \:\&\;2.}}}}$

$\rule{150}2$

Answer 2

Correct Question-:

• Factorise and zero of expression-:
• 1) x² - 3 x + 2

AnswEr -:

• $\boxed{\sf{\purple {\: The \: zeroes\: of\:given\: equation \:are \: 1\: and\: 2 . }}}$
• $\boxed{\sf{\purple {Factor\: of \: x²+3x-2\: are \: (x-1)\: and\: (x-2) . }}}$

Explanation-:

Given ,

Expression -:

• x² - 3x + 2

To Find ,

• Factorise and zero of expression.

Solution-:

$\boxed{\sf{\purple {Factorisation\: Using \: Middle\: term \: splitting \: method . }}}$

$\pink{\sf{\rightarrow {x² + 3x + 2 = 0}}}$

$\pink{\sf{\rightarrow {x² - 2x - x + 2= 0 }}}$

$\pink{\sf{\rightarrow {x(x -2) -1 (x -2) = 0 }}}$

$\blue{\sf{\rightarrow {(x-1)(x-2)=0 }}}$

Therefore,

• $\boxed{\sf{\purple {Factor\: of \: x²+3x-2\: are \: (x-1)\: and\: (x-2) . }}}$

☆ Factorising the expression zeroes with zero are -:

$\pink{\sf{\rightarrow {x-1 = 0}}}$

$\blue{\sf{\rightarrow {x= 1}}}$

And ,

$\pink{\sf{\rightarrow {x-2 = 0}}}$

$\blue{\sf{\rightarrow {x=2}}}$

$\boxed{\sf{\purple {Therefore,\: The \: zeroes\: of\:given\: equation \:are \: 1\: and\: 2 . }}}$

☆ The answers are -:

• $\boxed{\sf{\purple {Therefore,\: The \: zeroes\: of\:given\: equation \:are \: 1\: and\: 2 . }}}$
• $\boxed{\sf{\purple {Factor\: of \: x²+3x-2\: are \: (x-1)\: and\: (x-2) . }}}$

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