Solving Polynomial Equations and More

Solve the following equation.

x⁴ + 4x³ + 3x² = 0

• x = 0, x = 3, x = 1

• x = -3, x = -1

• x = 3, x = 1

• x = 0, x = -3, x = -1

Solve:

3x³ + 15x² + 30x = 0

• 3, -3, -2

• 0, -2, -3

• 0, 2, 3

• 0, -6, 1

Solve by factoring:

x³ + 3x² - 4x -12 = 0

• 4, -3

• 2, 3, -2

• 2, -3

• -2, -3, 2

Solve :

3x² + 5x + 2 = 0  

• x = -2/3 and x = -1
• x = -3/2 and x = -1
• x = 2/3 and x = 1
• x = 2/3 and x = -1

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴
• 6x⁴  -14x² - 7x +125
• 125 + 14x² + 7x  - 6x⁴
• -6x⁴+ 14x² + 7x - 125