Q. 145.0( 1 Vote )

# On dividing by is equal to

A. (x – 5) (x – 3)

B. (x – 5) (x + 3)

C. (x + 5) (x – 3)

D. (x + 5) (x + 3)

Answer :

Given: Two polynomials and

Required: Divide by

Let f(x) = and g(x) =

Now,

⇒

⇒

⇒ (∵ a^{2}–b^{2} = (a–b)(a + b))

⇒

∴ Quotient when f(x) is divided g(x) we get is: (x-5)(x-3)

∴ Correct Option is - Option (A)

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