Question

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Find the remainder of the following problems using Remainder Theorem.

( x∧3 - 7x - 6 ) Divided by ( x - 4 )

choices:

- 6
- 2
- 1
- 0

Answer 1

Answer:

by remainder theorum

the ans is

all options r wrong

the ans is 37

Step-by-step explanation:

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Answer 2

Question :-

Find the Remainder of the Following Problem using Remainder Theorem :-

$\bold {(x^3 - 7x - 6) \: Divided\: by \: (x - 4)}$

Solution :-

Given:

Dividend, p (x) = $\bold {(x^3 - 7x - 6)}$

Divisor, g (x) = (x - 4)

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To find the Remainder of p (x) by the Remainder Theorem -

Let g (x) = 0 => x - 4 = 0

∴ x = 4     [ is the Zero of p (x) ]

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Substituting x = 4 in p (x), we get the Remainder as -

$\begin {aligned} \bold {p (4)} & = (4)^3 - 7(4) - 6\\\\& \Rightarrow 64 - 28 - 6\\\\& = \bold {30} \end {aligned}$

∴ p (4) = 30 is the Required Remainder of p (x)

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