Question

DIVIDE THE POLYNOMIAL x³+5x²+2x+16(x+1) and verify the remainder​

Answer 1

Step-by-step explanation:

VERIFICATION:

dividend=divisor × quotient+ remainder

p(X) = g(X)+ q(X) × r(X)

x^3+5x^2+2x+16= (X+1) ( x^2+4x-6)+22

= X( x^2+4x-6) +1( x^2+4x-6)+22

= x^3+4x^2-6x+x^2+4x-6+22 x^3+5x^2+2x+16 = x^3+5x^2+2x+16

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