Operations with Polynomials: Adding and Subtracting Techniques

What is the highest power on the variable in a polynomial called?

• Coefficient

• Base

• Exponent

• Degree

Which rule applies when multiplying two expressions with the same base?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What happens to a term with a negative exponent in the numerator?

• It becomes positive

• It stays in the numerator

• It moves to the denominator

• It becomes zero

What is the simplified form of a^-3 * a^2 * b^4 * c^1?

• b^4 * c / a

• b^4 / (a * c)

• a^-1 * b^4 * c^1

• a^1 * b^4 * c^1

What is the degree of the polynomial term 3/4 * p^2 * q^7?

• 9

• 7

• 5

• 2

Which of the following is NOT a polynomial?

• x^4 + 3x^2 - 5

• 3x^2 + 2x - 1

• -3x^-1 + 4

• 5x^3 - 2x + 7

What is the result of adding 2a^3 - 5a + 7 and -a^3 + 3a - 2?

• a^3 - 2a + 5

• a^3 - 8a + 9

• a^3 - 2a + 9

• a^3 + 8a - 9

What is the simplified form of (3x^2 - 4x + 1) - (4x^2 + x - 5)?

• -7x^2 - 3x + 4

• -x^2 - 3x + 4

• -7x^2 - 5x + 6

• -x^2 - 5x + 6

What is the product of -y and (4y^2 - 2y - 3)?

• -4y^3 + 2y^2 + 3y

• 4y^3 - 2y^2 - 3y

• -4y^3 - 2y^2 + 3y

• 4y^3 + 2y^2 - 3y

What is the polynomial representing the profit if the cost is 0.01x^2 + 5x + 500 and the revenue is 10x?

• 10x + 0.01x^2 + 5x + 500

• 10x - 0.01x^2 - 5x - 500

• 10x + 0.01x^2 - 5x - 500

• 10x - 0.01x^2 + 5x + 500