Question

Divide P(x)=x4 -- 5x + 6 by g(x)= 2 - X2and verify the result by division algorithm.
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Answer 1

Step-by-step explanation:

p(x)=x^4+0.x³+0.x²-5x+6

g(x)=2-x²=-(-x²+2)=x²-2

x²-2) x^4. +0.x³+0.x²-5x+6(x²+2

(-) x^4. (+)-2x²

2x² -5x +6

(-)2x² (+)-4

-5x +10

$p(x) = g(x) \times q(x) + r(x)$

x^4-5x+6=(x²-2)(x²+2)+(-5x+10)

=x^4+2x²-2x²-4-5x+10

=x^4-5x++6

:-LHS=RHS

Answer 2

Answer:

answer attached in photo