Test 8
1.
\(P(x)=3x^3-3x^2+x-2\)
What is the sum of coefficients of \(P(x+1)\) polynomial?
A) \(-40\)B) \(-38\)C) \(-36\)D) \(8\)E) \(12\)
2.
\(P(x)=x^3+2x^2+ax-4\)
The constant term of \(P(2x-1)\) is 3
\(\Rightarrow a=?\)
A) \(-8\)B) \(-6\)C) \(-4\)D) \(-2\)E) \(0\)
3.
\(P(2x-3)=x^2-2x+3\)
What is the sum of coefficients of \(P(2x-1)\) polynomial?
A) \(7\)B) \(6\)C) \(4\)D) \(3\)E) \(1\)
4.
\(P(ax+1)=5ax-2\)
What is the constant term of \(P(ax-1)\) polynomial?
A) \(-12\)B) \(-10\)C) \(-8\)D) \(-6\)E) \(-5\)
5.
\(P(x-3)=Q(x-4)\)
If the sum of the coefficients of \(P(x)\) is 4, what is the constant term of \(Q(x)\) polynomial?
A) \(0\)B) \(1\)C) \(2\)D) \(3\)E) \(4\)
6.
\(P(x-1)+Q(x-2)=x^2-2m+3\)
The sum of coefficients of \(P(x)\) polynomial is 4, the constant term of \(Q(x)\) polynomial is 2
\(\Rightarrow m=?\)
A) \(\samefrac{1}{2}\)B) \(1\)C) \(2\)D) \(\samefrac{5}{2}\)E) \(3\)
7.
\(P(2x+1)=x\cdot Q(2x+2)-2x+4\)
If the constant term of \(P(x)\) is 4, what is the sum of coefficients of \(Q(x)\)?
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(6\)
8.
\(P(x^2+1)=Q(x-1)\cdot(x^2-1)\)
If the constant term of \(P(x+5)\) is 3, what is the sum of coefficients of \(Q(x)\)?
A) \(0\)B) \(1\)C) \(2\)D) \(3\)E) \(4\)