State whether $2$ and $3$ are the zeroes of the polynomial $x^{2} - 5 x + 6$ .

True

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False

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Solution

The correct option is A True
$x^{2} - 5 x + 6$
$= - x^{2} - 3 x - 2 x + 6$
$= x (x - 3) - 2 (x - 3)$
$= (x - 2) (x - 3)$
So, $x = 2, 3$

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Similar questions

Q. Verify whether

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and

2

are the zeroes of the polynomial

x^{3} - x^{2} + x - 6

Q. The zeroes of square of polynomial

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are ______ .

Q. Verify whether

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and

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are zeroes of the polynomial

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Verify that
(i) 1 and 2 are the zeros of the polynomial, $p (x) = x^{2} - 3 x + 2$ .
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(iii) 0 and 3 are the zeros of the polynomial, $r (x) = x^{2} - 3 x$ .

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State whether 2 and 3 are the zeroes of the polynomial x2−5x+6.

The correct option is A Truex2−5x+6=−x2−3x−2x+6=x(x−3)−2(x−3)=(x−2)(x−3)So, x=2,3

State whether $2$ and $3$ are the zeroes of the polynomial $x^{2} - 5 x + 6$ .

The correct option is A True
$x^{2} - 5 x + 6$
$= - x^{2} - 3 x - 2 x + 6$
$= x (x - 3) - 2 (x - 3)$
$= (x - 2) (x - 3)$
So, $x = 2, 3$