Adding and Subtracting Polynomials

What is the standard form of a polynomial?

Write the polynomial $$-3x^3 + 5x - 4 + 2x^2$$ in standard form.

Add the polynomials: $$3x^2 + 2x + 1$$ and $$-x^2 + x - 2$$

Subtract the polynomial $$2x^2 - 3x + 4$$ from $$5x^2 + x - 2$$ .

Which of the following is a polynomial?
Options:
$$3x^{-2} + 2x + 1$$ , $$2\sqrt{x} + x^2$$ , $$x^3 - 4x^2 + 7$$ , $$\frac{1}{x} + x^2$$

How many terms does the polynomial $$5x^4 - 3x^3 + x - 8$$ have?

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

Add the polynomials $$x^2 + 3x + 2$$ and $$2x^2 - x + 4$$ . What is the coefficient of $$x^2$$ in the result?

Subtract $$3x^3 - 2x + 5$$ from $$4x^3 + x^2 - x - 1$$ .

Subtract $$2x^2 - 4x + 1$$ from $$-x^2 + 6x - 3$$ .