Polynomials

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

Identify the coefficient of x^2 in the polynomial 4x^4 - 3x^3 + 6x^2 - x + 9.

Which of the following is NOT a polynomial?

If P(x) = 2x^3 - 5x + 1, what is P(2)?

What is the sum of the polynomials (3x^2 + 2x - 1) and (5x^2 - 4x + 7)?

Find the product of (x + 3) and (x^2 - x + 2).

What is the remainder when the polynomial x^3 + 2x^2 - 5x + 6 is divided by (x - 1)?

Factorize the polynomial x^2 + 5x + 6.

If the polynomial x^3 + ax^2 + bx + 6 is divisible by (x - 1) and (x - 2), find the values of a and b.

Given that (x^2 + px + q) is a factor of x^4 + 3x^3 + 5x^2 + 3x + 2, find p and q.