State true or false:
$x^{2} - 5 x + 6$ cannot be written as a product of two linear factors.

True

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False

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Solution

The correct option is B False
$x^{2} - 5 x + 6$ can be written as a product of two linear factors.
As, $x^{2} - 5 x + 6 = x^{2} - 2 x - 3 x + 6$
$= x (x - 2) - 3 (x - 2)$
$= (x - 2) (x - 3)$
Therefore, option B is correct.

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Similar questions

State true or false.

Factorising of the polynomial $x^{2} + 5 x - 6$ can be done only if the divisor is given.

State true or false.
$c o t θ$ can also be written as $t a n (90^{\circ} + θ)$ .

6 x^{2} + 5 x - 6

= (3 x - 2) (2 x + 3)

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