Question

What is the remainder when 9x2 - 21x + 20 is divided by x + 2?1098-265

Answer 1

- To solve the question, we apply the Remainder Theorem which states that we should substitute the value of the factor into the polynomial and the result gives the remainder when the division is done.

- Thus, we have that:

`\begin{gathered} \text{ The factor is }(x+2).\text{ This means we should substitute }x=-2\text{ into the polynomial} \\ 9x^2-21x+20 \\ put\text{ }x=-2 \\ \\ 9(-2)^2-21(-2)+20 \\ 36+42+20 \\ \\ =98 \end{gathered}`

Final Answer

The remainder is 98