Math, asked by DiyaDebeshee, 1 year ago

x^4 + x^3-2x^2+4x-10 divided by x-2
find the remainder

Answers

Answered by Anonymous
6
hiiii frnd here's the answer to the given question

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Answered by BrainlyHulk
8
Hello Friend♥☺!!!

[ The process of Division can be seen in attachment !!! if you are not clear you may clear it in comment section!! ]

p( x ) = x⁴ + x³ - 2x² + 4x -10

g( x ) = x - 2

q( x ) = x³ + 3x² + 4x + 12

And your answer ( Remainder ) r( x ) = 14 ★



♦ Verification :

p(x) = g(x) × q(x) + r(x)

RHS :

[ x - 2 ] × [ x³ + 3x² + 4x + 12 ] + 14

= [ x⁴ + 3x³ + 4x² + 12x ] + [ - 2x³ - 6x² - 8x - 24 ] + 14

= x⁴ + x³ - 2x² + 4x - 10 = LHS and it is proved !!!



[ Verification has been done to ensure that the answer I got (r = 14) is correct one ]
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