Test 12
1.
\(P(x-2)=x^3-4x^2+x+1\)
| \(P(x+1)\) | \(x+1\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
A) \(-5\)B) \(-4\)C) \(-3\)D) \(3\)E) \(5\)
2.
\(P(x+2)=x^3-ax+3\)
| \(P(x+1)\) | \(x+2\) |
| _ |
| \(0\) |
\(\Rightarrow a=?\)
A) \(-4\)B) \(-2\)C) \(4\)D) \(6\)E) \(8\)
3.
\(P(x-1)=x^2-2ax+5-a\)
| \(P(x+1)\) | \(x+2\) |
| _ |
| \(0\) |
\(\Rightarrow a=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
4.
\(P(3x-1)=mx^2-x+Q(x)\)
| \(P(x)\) | \(x-5\) |
| _ |
| \(6\) |
| \(Q(x)\) | \(x-2\) |
| _ |
| \(0\) |
\(\Rightarrow m=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
5.
\(P(3x+2)=Q(x)+3x-2\)
| \(P(x)\) | \(x+1\) |
| _ |
| \(-1\) |
| \(Q(x)\) | \(x+1\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
A) \(-5\)B) \(-3\)C) \(2\)D) \(4\)E) \(5\)
6.
\(\samefrac{P(x+2)+2x-1}{Q(x-1)}=x^2-1\)
| \(P(x)\) | \(x-4\) |
| _ |
| \(3\) |
| \(Q(x)\) | \(x-1\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
A) \(2\)B) \(3\)C) \(5\)D) \(7\)E) \(8\)
7.
| \(P(x)\) | \(x-1\) |
| _ |
| \(2\) |
| \(Q(x)\) | \(x-1\) |
| _ |
| \(3\) |
| \(P(2x-1)\cdot x^2\cdot Q(4-3x)\) | \(x-1\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
A) \(4\)B) \(6\)C) \(7\)D) \(10\)E) \(11\)
8.
\((x+3)\cdot P(x)=x^3+3x^2-x-3\)
| \(P(x)\) | \(x+3\) |
| _ |
| \(K\) |
\(\Rightarrow K=?\)
A) \(0\)B) \(5\)C) \(7\)D) \(8\)E) \(9\)