Question

When the polynomial x³+x²+3x+2 is divided by x²+2x+5 the quotient is x-1.Find the remainder.

Answer 1

Answer:

7

Step-by-step explanation:

By Euclids Division Lemma

Dividend=Divisor x Quotient + Remainder

x³+x²+3x+2= (x²+2x+5) (x-1) + R

Or, x³+x²+3x+2= {x(x²+2x+5)-1(x²+2x+5)+ R}

Or,x³+x²+3x+2=x³+x²+3x-5 + R

Or, R=2+5=7