Property 13
Example
| \(P(x)\) | \(x^2-4\) |
| _ |
| \(3x-5\) |
| \(P(x)\) | \(x-2\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
Answer
\(P(x)=(x^2-4)\cdot B_1(x)+3x-5\)
\(P(2)=3\cdot2-5=1\)
\(P(x)=(x-2)\cdot B_2(x)+K\)
\(P(2)=K\)
\(\Rightarrow K=1\)
1.
| \(P(x)\) | \(x^3-8\) |
| _ |
| \(x^2+x-2\) |
| \(P(x)\) | \(x-2\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
2.
| \(P(x)\) | \(x^2-3x+2\) |
| _ |
| \(x+4\) |
| \(P(x)\) | \(x-1\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
3.
| \(P(x)\) | \((x-4)^2\) |
| _ |
| \(6-8x\) |
| \(P(x)\) | \(x-4\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
4.
| \(P(x)\) | \(x^2+5x\) |
| _ |
| \(7x-15\) |
| \(P(x)\) | \(x+5\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
5.
| \(P(x)\) | \(x^2+6x\) |
| _ |
| \(x-5\) |
| \(P(x)\) | \(x+6\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
6.
| \(P(x)\) | \(x^3-27\) |
| _ |
| \(x^2-5x+6\) |
| \(P(x)\) | \(x^2+3x+9\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
7.
| \(P(x)\) | \(x^2-x-1\) |
| _ |
| \(2x-1\) |
| \(P^2(x)\) | \(x^2-x-1\) |
| _ |
| \(K(x)\) |
\(\Rightarrow K(x)=?\)