Polynomials

Write this polynomial in standard form.

5m²n + 9n³ - mn² + 2m³

• 9n³ + mn² + 5m²n + 2m³

• 2m³ + 5m²n + mn² + 9n³

• 2m³ + 5m²n - mn² + 9n³

• 2m³ + 9n³ + 5m²n - mn²

Classify the following expression

2x⁴ - x + 5

• quadratic, polynomial

• quadratic, trinomial

• cubic, trinomial

• quartic, trinomial

What is the degree of the monomial below?

-3ab²c³

• 6

• 3

• 2

• 5

What is the degree of the polynomial below?

x³ - 5x² + 7x - 3

• 4

• 1

• 2

• 3

Which expression simplifies to a quadratic binomial?

• (3a² - 5a - 1) + (2a² + 7a - 1)

• (2x - 5) (2x + 5)

• (y² + 1)²

• (6k⁶ - 3k) / 3k³

Simplify expression and write in standard form.

(6x - 7x² + 7) - (5x² + 2x - 2x³ - 1)

• 2x³ - 12x² + 4x + 6

• 4x - 12x² + 8 - 2x³

• 2x³ - 12x² + 4x + 8

• 2x³ - 12x² + 8x + 8

Simplify expression and write in standard form.

(7y² - 3y) - (4y² + 2y -2)

• 3y² - 5y + 2

• 3y² - y + 2

• 3y² - 5y - 2

• 3y² - y - 2

Simplify expression and write in standard form.

(2x² - 5x + 6) + (5x² -3x + 4)

• 7x² + 8x + 10

• 7x² - 8x + 10

• 7x² - 8x + 2

• 10x² - 8x + 10

Subtract (a² - 8ab + 2b²) from (5a² - 9ab + 2b²)

• -4a² -17ab

• 4a² - ab

• -4a² + ab

• 4a² - ab + 4b²

Simplify expression and write in standard form.

-2x (x³ - 6x² + 6) + 4x³ - (5x⁴ + 10x)

• -7x⁴ - 8x³ - 2x

• -7x⁴ + 16x³ - 10x -12

• -7x⁴ + 16x³ - 2x

• -7x⁴ + 16x³ - 22x