Question

find the value of a if remainder is same when polynomial x^3 +8x^2+17x +x is divided by both(x+2) and (x+1)​

Answer 1

Answer:

The remainder theorem: P(x)=Q(x)(x−a)+r so P(a)=r

So the remainder blah means that the two polynomials evaluate to the same value at a.

x3+x2−4x+5=x3+3x−7

x2−7x+12=0

(x−3)(x−4)=0

The two polynomials evaluate to the same value at 3 or 4, so a is 3 or 4.

Step-by-step explanation:

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