Question

x power 4 -16 by x-2 plz koi bata do ​

Answer 1

Answer:

0

Step-by-step explanation:

(x^4 - 16)/(x-2)

x - 2 = 0

x = 2

x^4 - 16

= 2^4 - 16

= 16 - 16

= 0

Answer 2

Question :-

Divide and Verify the Result :-

a) $\bold {x^4 - 16 \:by \:x - 2}$

Solution :-

Given,

p (x) = $\bold {x^4 - 16}$

g (x) = $\bold {x - 2}$

By Long Division*, we get -

The Quotient, q (x) as = $\bold {x^3 + 2x^2 + 4x + 8}$ and the Remainder, r (x) as 0.

Verification :-

By Division Algorithm, (i.e.),

$\boxed {\bold {Dividend = Divisor \times Quotient + Remainder}}$,

$\Rightarrow {\bold {x^4 - 16 = (x - 2) \times (x^3 + 2x^2 + 4x + 8) + 0}}$

$\Rightarrow x^4 - 16 = x^4 + 2x^3 + 4x^2 + 8x - 2x^3 - 4x^2 - 8x - 16\\\\\ \Rightarrow x^4 - 16 = x^4 + 2x^3 - 2x^3 + 4x^2 - 4x^2 + 8x - 8x - 16\\\\\Rightarrow \bold {x^4 - 16 = x^4 - 16}$

∴ It is also Verified that LHS is Equal to RHS....

*Long Division given with the Attachment...

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