Polynomial Operations Made Easy

Why is it important to manipulate polynomials in the business and physical world?

• Because they are used in models of profits, losses, velocity, and displacement.

• Because they are rarely used in real life.

• Because they are fun to work with.

• Because they are easy to understand.

What is the result of adding 4x^2 + 7x - 9 and 3x^2 - 9x + 15 using the horizontal method?

• 7x^2 + 16x - 24

• 7x^2 - 16x + 24

• 7x^2 + 2x - 6

• 7x^2 - 2x + 6

In the vertical method of adding polynomials, what is the first step?

• Divide the coefficients.

• Line up the like terms in columns.

• Multiply the coefficients.

• Subtract the coefficients.

What is a key danger to watch out for when subtracting polynomials?

• Forgetting to add the coefficients.

• Forgetting to multiply the coefficients.

• Forgetting to use the minus sign correctly.

• Forgetting to divide the coefficients.

How do you handle the minus sign when subtracting polynomials?

• Change the subtraction to addition and take the opposite of each term in the second polynomial.

• Ignore it.

• Multiply it by the first polynomial.

• Add it to the first polynomial.

What is the result of subtracting 3a^2b from 5a^2b?

• 1a^2b

• 0

• 8a^2b

• 2a^2b

What property is used when multiplying a polynomial by a monomial?

• Identity property

• Distributive property

• Associative property

• Commutative property

What is the result of multiplying 2x^3 by 5x^2?

• 10x^6

• 7x^6

• 10x^5

• 7x^5

When combining operations, what should you be particularly careful about?

• Handling the minus sign correctly.

• Adding the coefficients.

• Dividing the coefficients.

• Multiplying the coefficients.

What is the first step in solving the problem 5(a^3 + 4a^2 - 3a) - 2a(4a^2 - 5a + 3)?

• Multiply 5 by the first polynomial.

• Add the polynomials.

• Subtract the polynomials.

• Divide the polynomials.