Operation Polynomials

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z

• -x +10y - 10z

• x -10y - 10z

• -x -10y - 10z

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1

• a² + 8a + 7

• 3a² + 8a + 7

• a² + 2a - 1

x⁴ - 4x² - 45

• (x² - 5)(x - 3)(x + 3)

• (x² + 45)(x + 1)(x - 1)

• (x² + 5)(x - 3)(x + 3)

• (x² + 3)(x - 5)(x + 3)

Factor by grouping: xy + 3x + 6y + 18.

• (y + 3)(x + 6)

• (y - 3)(x - 3)

• (x - 3)(y + 6)

• Prime

factor 5x³ - 5x completely.

• (x + 1)(x - 1)

• 5x(x + 1)(x - 1)

• 5x(x - 1)²

• Prime

What is the correct factor of a³ + 27?

• (a + 3)(a² + 3a + 9)

• (a + 3)(a² - 3a + 9)

• (a - 3)(a² - 3a + 9)

• Prime

Factor 8x³ - 1

• (2x - 1)(4x² - 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² + 2x + 1)

• Prime

• 2x - 5

• x - 4

• x + 4

• 2x + 4

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.