Question

Find the remainder obtained on dividing the polynomial p(x) = x 2 – 16x + 30 by (x – 15) using long division method​

Answer 1

Answer:

Answer

Given p(x)=x

3

+1

x+1

x

3

+1

=

x+1

(x+1)(x

2

−x+1)

=x

2

−x+1

Therefore, p(x) is divisible by x+1.

Hence, the remainder is zero.

Answer 2

Answer:

hey

here is ur answer

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Given that the remainder is (x + q)

⇒ (4k – 25 + 16 – 2p)x + [10 – p(8 – p) ] = x + q

⇒ (2p – 9)x + [10 – 8p+ p2 ] = x + q

On comparing both the sides, we get

2p  – 9 = 1

⇒ 2p = 10

∴ p = 5

Also 10 – 8p + p2 = q

⇒ 10 – 8(5) + 52 = q

⇒ 10 – 40 + 25 = q

∴ q= – 5

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I hope this will help