Test 15
1.
| \(x^3-x^2-2x-1\) | \(x^2+x-1\) |
| _ |
| \(K(x)\) |
\(\Rightarrow K(x)=?\)
A) \(x-4\)B) \(-x-1\)C) \(x-3\)D) \(x+1\)E) \(2x+4\)
2.
| \(3x^4-2x^3-2x\) | \(x^2+x\) |
| _ |
| \(K(x)\) |
\(\Rightarrow K(x)=?\)
A) \(-7x\)B) \(-5x\)C) \(-3x\)D) \(-x\)E) \(x\)
3.
| \(x^4+3x^2+mx+n\) | \(x^2-x+2\) |
| _ |
| \(2x-3\) |
\(\Rightarrow m\cdot n=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
4.
| \(2x^4+x^2+ax+b\) | \(x^2-2x+2\) |
| _ |
| \(0\) |
\(\Rightarrow a+b=?\)
A) \(-4\)B) \(6\)C) \(8\)D) \(9\)E) \(12\)
5.
| \(x^3+ax^2+2x-b\) | \((x-1)^2\) |
| _ |
| \(13x-7\) |
\(\Rightarrow b=?\)
A) \(4\)B) \(3\)C) \(2\)D) \(1\)E) \(-1\)
6.
| \(x^3-4x^2+m\) | \((x+1)^2\) |
| _ |
| \(11x+12\) |
\(\Rightarrow m=?\)
A) \(2\)B) \(3\)C) \(6\)D) \(8\)E) \(9\)
7.
| \(P(x)\) | \(x-2\) |
| _ |
| \(4\) |
| \(P(x)\) | \(x+1\) |
| _ |
| \(-2\) |
| \(P(x)\) | \(x^2-x-2\) |
| _ |
| \(K(x)\) |
\(\Rightarrow K(x)=?\)
A) \(2x\)B) \(x\)C) \(-2x\)D) \(2x-1\)E) \(-2x-1\)
8.
| \(P(x)\) | \(x-3\) |
| _ |
| \(3\) |
| \(P(x)\) | \(x+3\) |
| _ |
| \(5\) |
| \(P(x)\) | \(x^2-9\) |
| _ |
| \(K(x)\) |
\(\Rightarrow K(x)=?\)
A) \(-\samefrac{x}{3}+4\)B) \(\samefrac{x}{3}\)C) \(4\)D) \(2x+1\)E) \(2x-1\)