Polynomials

What is the degree of the polynomial \(5x^3 + 2x^2 - 7x + 4\)?

If \(P(x) = x^2 - 4x + 4\), what is \(P(2)\)?

Which of the following is a polynomial?

What is the sum of the polynomials \(3x^3 - x + 5\) and \(2x^3 + 4x - 7\)?

If \(P(x) = x^2 + 3x + 2\), what is the value of \(P(-1)\)?

Which polynomial is divisible by \(x - 2\)?

Find the product of \((x + 3)\) and \((x - 5)\).

If \(P(x) = 2x^3 - 3x^2 + ax - 5\) and \(x = 1\) is a root of \(P(x)\), find \(a\).

What is the remainder when \(x^3 + 2x^2 - x + 1\) is divided by \(x - 1\)?

If \(P(x) = x^4 - 5x^3 + 6x^2 + bx + c\) is divisible by \(x^2 - 2x + 1\), find the values of \(b\) and \(c\).