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Factorisation Using Algebraic Identities

Factorise q...

Question

Factorise $q^{2} - 10 q + 21$

A

(q - 7) (q - 3)

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B

(q - 2) (q - 4)

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C

(q - 1) (q - 5)

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D

(q - 9) (q - 2)

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Solution

The correct option is C $(q - 7) (q - 3)$
Consider, $q^{2} - 10 q + 21$
$= q^{2} - 7 q - 3 q + 21$
$= q (q - 7) - 3 (q - 7)$
$= (q - 7) (q - 3)$

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