Question

if a polynomial 3x^4-4x^3-16x^2+15x+14 is divided by another polynomial x^2-4,the remainder comes out to be px+q.find the value of p and q​

Answer 1

Answer:

By remainder theorem,

f(x)=q(x)g(x)+r(x)

∴2x5+3x4+4x3+4x2+3x+2=(2x2+x+1)(x3+x2+x+1)+r(x)

=2x2(x3+x2+x+1)+x(x3+x2+x+1)+1(x3+x2+x+1)+r(x)

=2x5+2x4+2x3+2x2+x4+x3+x2+x+x3+x2+x+1+r(x)

=2x5+3x4+4x3+4x2+2x+1+r(x)

r(x)=

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Answer 2

Answer:

p = –1 , q = –2

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Step-by-step explanation: