Math, asked by Manvikasahu, 1 year ago

if the polynomial 4 x the power 4 + 2 x cube minus 2 X square + X - 1 is divided by another polynomial X square + 2 x minus 3 remainder comes out to be a x + B then find the value of A and B are

Answers

Answered by shubh2212
18
A=-61
B=65 are the value of the constants
Answered by Panzer786
40
Hiii friend,

P(X) = 4X⁴+2X³-2X²+X-1

G(X) = X²+2X-3

On dividing P(X) By G(X)

Quotient = 4X²-6X+22

Remainder = -61X+65

According to the question,

When we divide the Polynomial P(X) by G(X) then remainder comes AX+B.

Therefore,

-61X +65 = AX +B

Coefficient of X is 1 and constant term is 1.

So,

A = -61 And B = 65

HOPE IT WILL HELP U..... :-)
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