Adding and Subtracting Polynomials

This video tutorial covers the process of adding and subtracting polynomials, starting with a review of basic concepts such as monomials, binomials, and trinomials. It emphasizes the importance of matching variables and exponents when performing these operations. The tutorial provides step-by-step examples of adding and subtracting both simple and complex polynomials, highlighting common mistakes and tips for simplifying expressions. The video concludes with a discussion on the significance of understanding polynomials in algebra and real-world applications.

What is a polynomial with two terms called?

• Quadrinomial

• Binomial

• Monomial

• Trinomial

When adding polynomials, what must be true about the terms being added?

• They must have the same coefficients.

• They must have the same variable and exponent.

• They must be in the same order.

• They must be positive.

In the expression 5x - 4 + 2x + 3, what is the result of combining like terms?

• 7x - 1

• 7x + 1

• 3x - 7

• 3x + 7

What is the first step in subtracting polynomials?

• Add the coefficients.

• Combine like terms.

• Multiply the terms.

• Distribute the negative sign.

In the expression 5x - 4 - (2x + 3), what is the result after distributing the negative sign?

• 7x + 1

• 3x + 7

• 3x - 7

• 7x - 1

What happens to terms with the same coefficient but opposite signs when added?

• They remain unchanged.

• They become negative.

• They cancel each other out.

• They double.

In the expression t^2 - 8t - 7 + t^2 + 5t - 6, what is the result of combining the t^2 terms?

• 0

• t^3

• 2t^2

• t^2

What is the degree of the polynomial 5x^3 - 2x + 1?

• 4

• 3

• 2

• 1

In the expression 5x^3 - 2x + 1 - (x^2 + 2x - 2), what is the result after distributing the negative sign?

• 5x^3 - x^2 + 4x - 3

• 5x^3 + x^2 - 4x + 3

• 5x^3 + x^2 + 4x - 3

• 5x^3 - x^2 - 4x + 3

Why is it important to learn how to add and subtract polynomials?

• They are only used in algebra classes.

• They are used in many real-world applications.

• They are only used in geometry.

• They are not important in mathematics.