Polynomials

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

If \(p(x) = x^2 - 5x + 6\), what is \(p(2)\)?

Which of the following is NOT a polynomial?

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

If \(x = 1\) is a root of the polynomial \(x^3 - 4x^2 + x + 6\), what is the quotient when the polynomial is divided by \(x - 1\)?

Factorise the polynomial \(x^2 + 5x + 6\).

What is the remainder when \(2x^3 - 3x^2 + 4x - 5\) is divided by \(x + 2\)?

(Revised) What is the remainder when \(2x^3 - 3x^2 + 4x - 5\) is divided by \(x - 1\)?

If \(p(x) = ax^2 + bx + c\) and \(p(1) = 6, p(2) = 11, p(3) = 18\), find \(a + b + c\).

Which polynomial has \(x = 2\) as a root?

Find the value of \(k\) if \(x - 3\) is a factor of \(2x^3 + kx^2 - 5x + 6\).