Question

Factorization 2x^- 6x + 4​

Answer 1

Question

Factorization 2x^2 - 6x + 4

Answer

G I V E N :

• 2X^2 - 6X + 4

T O F I N D :

• Find its Factor

S O L U T I O N :

${2x}^{2} - 6x + 4$

$= > 2 {x}^{2} - (2 + 4)x + 4$

$= > 2{x}^{2} - 2x - 4x + 4$

$= > x(2x - 2) - 2(2x - 2)$

$\bold{= > (x - 2)(2x - 2)}$

T H E R E F O R E :

• The factor of the above equation is (x-2)(2x-2)

⛄More Information

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$\bold{(x + y)^{2} = {x}^{2} + {y}^{2} + 2xy}$

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$\bold{(x - y) ^{2} = {x}^{2} + {y}^{2} - 2xy}$

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$\bold{(x + y)(x - y) = {x}^{2} - {y}^{2} }$

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$\bold{{x}^{2} + (a + b)x + ab = (x + a)(x + b)}$

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$\bold{(x + y) ^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}$

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$\bold{(x - y) ^{3} = {x}^{3} - {y}^{3} - 3xy(x - y)}$

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Answer 2

GiveN :-

• 2x² - 6x + 4

To FinD :-

• Factors of given polynomial

SolutioN :-

$:\implies \sf {2x}^{2} - 6x + 4$

By splitting middle term :

$:\implies \sf {2x}^{2} - 4x - 2x + 4 \\ \\ :\implies \sf2x(x - 2) - 2(x - 2) \\ \\ :\implies \underline { \boxed{\sf(2x - 2)(x - 2)}}$