Question

What should be added in polynomial x^3+2x^2-9x+1 so that it is completely divisible by x+4

Answer 1

polynomial x^3+2x^2-9x+1
by remainder theorem x+4=0
x= -4
Put the value in polynomial
x^3+2x^2-9x+1+k=0. ( let k is unknown number added)
-4^3+2(-4)^2-9 x -4+1+ k=0
-64 + 2(16) + 36 + 1+ k= 0
-64 +32+36+1+k=0
-64+69+k=0
5+k=0
K=-5

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