Adding or Subtracting or Multiplying Polynomials

Simplify:

(x+4) + (x-2)(3x+5)

• 3x²-x-10

• 3x²-14

• 3x²-6

• 3x²+2x+14

Add the following polynomials:

(12x² + 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

• 5x² - x + 7

• 6x⁴ + 5x² - x + 7

• 6x⁴ + 5x² - x + 11

• 5x² + 11x + 11

Add the following polynomials:

(x³ + 6x - 5) + (-6x² + 4x + 3)

• x³ - 6x² +10x - 8

• x³ - 6x² +10x + 2

• x³ - 6x² +10x - 2

• x³ + 4x - 2

Subtract the following polynomials: (6x² + 10x - 9) - (4x² - 13)

• 2x² + 10x - 22

• 10x² + 10x - 22

• 2x² + 10x - 4

• 2x² + 10x + 4

Subtract the following polynomials:
(-5x² + x³ - 2x + 3) - (-5x² -x³ + 4x + 8)

• 2x³ - 6x + 11

• 2x³ - 6x - 5

• 2x³ - 10x² - 6x - 5

• - 10x² - 6x - 5

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

• 12x² - 3x - 9

• 7x³ - 3x² - 6x

• 12x³ - 3x² - 9x

• 12x³ - 3x² - 6

True or False: The following is a polynomial:

2x⁴ + 3x³ - 5x² + x -12

• True

• False

Determine the degree of the following polynomial:

-2x² - x⁵ +2x - 5

• 5

• 2

• 7

• 8

Determine the leading coefficient of the following polynomial:

4x² + 3x -2

• -2

• 2

• 3

• 4

Multiply the following polynomial by the monomial:

-x³(2x³ - x² + 5)

• -2x⁶ + x⁵ - 5x³

• -2x⁹ + x⁶ - 5x³

• -2x⁶ - x⁵ - 5x³

• -2x⁶ - x⁵ - 5