Adding and Subtracting polynomials

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

• 1

• 5

• 6

• 11

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x

What is the correct name of the following:

3x + 5y² - 3

• monomial

• trinomial

• binomial

• polynomial

What is the standard form of the polynomial,

9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 2x³ + 9x² + 5x + 27

• 9x² + 5x + 27 + 2x³

• 9x² + 5x + 2x³ + 27

Find the difference.

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -2x² + 11x - 4

• -x² -6x + 8

Add the polynomials.

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 6x³ + 1x - 1x² - 3

• 2x³ + 1x² - 5x + 9

• 3x⁵ +1x - 1x⁵ - 3x

(x + 5)²

Hint: try (x + 5)(x + 5)

• x² + 25

• x² + 10x + 25

• x² + 10 x + 10

• x² + 10

What is a coefficient?

• The number in front of a variable.

• The exponent of a variable.

• A constant.

• A variable.

What are like terms?

• The same coefficients.

• The same variables with different exponents.

• Terms with the same variable and exponents combination.

• Different variables with same exponents.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 9a² - 20a - 7