Understanding Polynomials

What is the first step in adding polynomials?

• Multiply the coefficients

• Divide the terms

• Combine like terms

• Distribute the minus sign

When adding 8x^3 and x^3, what is the result?

• 7x^3

• 9x^3

• 8x^3

• 10x^3

What should you be cautious about when subtracting polynomials?

• Dividing terms

• Combining like terms

• Distributing the minus sign

• Multiplying coefficients

How do you handle a positive term when distributing a minus sign?

• It becomes negative

• It remains positive

• It is multiplied by zero

• It is divided by two

What is the result of multiplying -3m by m^3?

• -3m^3

• 3m^3

• -3m^4

• 3m^4

What happens to the exponents when multiplying terms?

• They are subtracted

• They are divided

• They remain the same

• They are added

What is the first step in dividing a polynomial by a monomial?

• Add the exponents

• Simplify each term individually

• Combine like terms

• Multiply the terms

How do you simplify b^7 divided by b^-2?

• b^14

• b^3

• b^9

• b^5

What is the result of 18 divided by 9 in the context of dividing polynomials?

• 1

• 2

• 3

• 4

What is the simplified form of a^5 divided by a^2?

• a^1

• a^2

• a^7

• a^3