(X - 7) is on the factor of (x2 - 4x - 21) Find the other.
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Given: (x - 7) is factor of x² - 4x -21
then,
x = 7 will also be factor of x² - 4x - 21
now,
factorisation of x² - 4x - 21,
⇒ x² - 7x + 3x - 21
⇒ x( x - 7) + 3( x - 7)
⇒ (x + 3)(x - 7)
as we know, that
x - 7 is factor of x² - 4x - 21
then,
(x - 3) is also factor of x² - 4x - 21
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