Polynomial Operations

Simplify the expression: (3x² + 2x - 5) + (4x² - 3x + 7)

• 12x² - 4x + 2

• 7x² - x + 2

• 10x² - 2x + 2

• 5x² - x + 2

Find the result of: (5x³ - 2x² + 3x) - (2x³ + 4x² - 5x)

• 3x³ - 6x² + 8x

• 7x³ - 2x² + 2x

• 4x³ - 6x² + 3x

• 8x³ - 4x² - 2x

Multiply the polynomials: (2x + 3)(x - 4)

• 4x² - 5x - 12

• 2x² + 11x - 12

• 2x² - 11x + 12

• 2x² - 5x - 12

Calculate the product of: (3x² - 2x + 5)(4x - 1)

• 12x³ + 11x² + 22x - 5

• 15x³ - 6x² + 4x - 5

• 12x³ - 11x² + 22x - 5

• 7x³ - 2x² + 5x - 5

Divide the polynomials: (6x³ + 5x² - 3x + 2) ÷ (2x + 1)

• 4x² - 2x + 3 + 4/(2x + 1)

• 3x² + x - 2 + 4/(2x + 1)

• 2x² + 3x - 1 - 4/(2x + 1)

• 5x² - 2x + 4 - 4/(2x + 1)

Determine the quotient of: (4x⁴ - 3x³ + 2x² - x) ÷ (x + 1)

• 4x³ - 7x² + 9x - 10 - 10/(x + 1)

• 4x³ - 7x² + 9x - 10 + 10/(x + 1)

• 4x³ - 7x² + 9x - 10 + 8/(x + 1)

• 4x³ - 7x² + 9x - 10 - 8/(x + 1)

Add the polynomials: (7x² - 4x + 3) + (2x² + 5x - 1)

• 16x² + 9x + 2

• 5x² + x + 2

• 9x² - 9x + 2

• 9x² + x + 2

Subtract the polynomials: (6x³ + 2x² - 5x + 4) - (3x³ - 4x² + 2x - 1)

• 9x³ - 2x² + 3x - 3

• 3x³ + 6x² - 7x + 5

• 3x³ - 2x² - 3x + 3

• 9x³ + 2x² - 3x + 5

Find the result of: (2x² - 3x + 4) * (3x² + 2x - 1)

• 5x⁴ - 5x³ + 5x² - 4x + 4

• 6x⁴ - 5x³ - 5x² - 4x + 4

• 12x⁴ - 6x³ + 8x² - 9x + 4

• 6x⁴ - 5x³ + 4x² + 11x - 4

Calculate the product of: (4x³ - 2x² + 5x - 3) * (2x² + 3x - 1)

• 8x⁵ + 8x⁴ + 11x² - 14x + 3

• 8x⁵ - 4x⁴ + 11x³ - 11x² + 7x - 3

• 12x⁵ - 6x⁴ - 9x² + 10x - 3

• 6x⁵ - 3x⁴ + 17x³ - 11x² + 7x - 3