Question

what is the remainder, when x2+3x2+4x+6 is divided by x+3?​

Answer 1

Answer:

-6

Step-by-step explanation:

It will be easier to do this by remainder theorem and factor theorem,

REMAINDER THEOREM - When a polynomial f(x) is divided by (x-α), then the remainder is given by f(α)

FACTOR THEOREM - When a polynomial f(x) is divided by (x-α) such that (x-α) is its factor, then f(α)=0

Here, f(x) = x³+3x²+4x+6

and the divisor is given by (x+3)

now, x+3=0, x= -3

So, f(α)= (-3)³+3(-3)²+4(-3)+6 = -27+27-12+6 =-6

ans -6 is the remainder.

if u want, u can check it by long division method too

Answer 2

Answer:

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