Question

Divide


p(x)=x3+x2+3x+115 by g(x) =x+5
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Answer 1

Step-by-step explanation:

As the remainder theorem tells that when p(x) is divided by (x-a) then the remainder is p(a); hence the remainder is p(-5)=(-5)³+(-5)²+3×(-5)+115=-125+25-15+115=140-140=0; hence (x+5) is a factor of p(x) as the remainder is 0. Dividend=Divisor×Quotient +Remainder = Quotient =p(x)/x+5=x³+x²+3x+115/x+5=x²-4x+23