Use the long division method to find the result when x3 + 10x2 + 29x + 12
is divided by + 4. If there is a remainder, express the result in the form
r(2)
g(x) +
b(x)

Use the long division method to find the result when x3 10x2 29x 12 is divided by 4 If there is a remainder express the result in the form r2 gx bx class=

Respuesta :

When  x³ + 10x² + 29x + 12 is divided by x + 4 the answer in this format

q(x) + r(x) / b(x) is express as  x²+ 6x + 5 -  [tex]\frac{8}{x+4}[/tex]

The long division application is uploaded as a picture below.

The answer should be express in this format:

q(x) + r(x) / b(x)

where,

q(x) = quotient

r(x) = remainder

b(x) = divisor

The quotient is the value obtained by dividing one value by another. The quotient is x²+ 6x + 5 .

The remainder is the amount left over after performing the division. The remainder is -8.

The divisor is the value that divides another completely or with a remainder.  The divisor is x + 4.

Therefore, the answer will be

x² + 6x + 5  +  [tex]\frac{-8}{x + 4}[/tex]

x² + 6x + 5  -  [tex]\frac{8}{x+4}[/tex]

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