Question

homework assignment 3.5: dividing polynomials
score: 0/8 answered: 0/1
question 1
find the quotient and remainder using long division for: \\(\frac{x^2 + 11x + 20}{x + 3}\\)
the quotient is
the remainder is
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Explanation:

Step1: Divide leading terms

$\frac{x^2}{x} = x$

Step2: Multiply divisor by result

$x(x+3) = x^2 + 3x$

Step3: Subtract from dividend

$(x^2 + 11x + 26) - (x^2 + 3x) = 8x + 26$

Step4: Divide new leading terms

$\frac{8x}{x} = 8$

Step5: Multiply divisor by result

$8(x+3) = 8x + 24$

Step6: Subtract to find remainder

$(8x + 26) - (8x + 24) = 2$

Answer:

The quotient is $x + 8$
The remainder is $2$