Question

Divide and write down the quotient and remainder. Also check your answers.
P^4+63/4P^2-5 by P^2-1/4

Answer 1

Answer:

answer is in attachment

Step-by-step explanation:

see the attached figure it answer is there

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Answer 2

quotient  = P² + 16

Remainder = -1

Step-by-step explanation:

we have to divide the $P^4 +\frac{63}{4}P^2-5$ by $P^2-\frac{1}{4}$

we get

quotient  = P² + 16

Remainder = -1

verify :

dividend = divisor × quotient + remainder

$P^4 +\frac{63}{4}P^2-5 = P^2-\frac{1}{4}\times (P^2 +16 )+(-1)\\\\P^4 +\frac{63}{4}P^2-5 = P^4+ 16 P^2-\frac{1}{4}P^2-4-1 \\\\P^4 +\frac{63}{4}P^2-5 = P^4 +\frac{63}{4}P^2-5 \\\\LHS = RHS$

hence verified

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