Question

Divide the polynomial by the binomial. Write your answer in the form: Dividend = divisor × quotient + remainder

(1) x² – 7x + 12; x – 3

Answer 1

(x² – 7x + 12) ÷ x – 3 can be shown as:

$$\begin{gathered} x-4 \\ x-3\overline{)x^2-7x+12} \\ {x}^2-3x \\ \underline{-+} \\ 0-4x+12 \\ -4x+12 \\ \underline{+-} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ x² – 7x + 12 = (x – 3) (x – 4) + 0