Property 8
The sum of coefficients in a given polynomial can be found by putting “1” in the place of \(x\).
The constant expression can be found by putting “0” in the place of \(x\).
1.
\(P(x)=6x^3-2x^2+1\)
What is the sum of coefficients of \(P(x)\)?
2.
\(P(x+1)=x^2-2x+4\)
What is the sum of coefficients of \(P(x)\)?
3.
\(P(x-2)=3x^3-4\)
What is the sum of coefficients of \(P(x)\)?
4.
\(P(x)=ax^2-6x+1\)
If the sum of coefficients of \(P(x)\) polynomials is 10 then what is the value of “a”?
5.
\(P(x-1)=x^3+2x+1\)
What is the sum of the coefficients of \(P(x+1)\) polynomial ?
6.
\(P(x+3)=x^2+1\)
What is the sum of coefficients of \(P(x-2)\) polynomial?
7.
\(P(x)=6x^2-2\)
What is the constant term of \(P(x)\) polynomial?
8.
\(P(x)=x^3-2x\)
What is the constant term of \(P(x)\) polynomial?
9.
\(P(x-2)=x^2+3x+1\)
What is the constant term of \(P(x)\) polynomial?
10.
\(P(x+3)=3x-4\)
What is the constant term of \(P(x+1)\) polynomial?