Solving Polynomial Equations by Factoring, Real and Imaginary

Which one refers to a polynomial equation in the form ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0?

• Quadratic Equation

• Quadratic Polynomial

• Quadratic Inequalities

• Linear Equation

The solutions of the quadratic equation
x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6

Which of the following is the interval notation of x² - x - 12 < 0?

• [ 4, 3]

• (-4, -3]

• (-3, 4)

• [-3, 4]

If the discriminant is equal to 121, then the nature of the roots is?

• real, irrational and unequal

• imaginary

• real, rational and unequal

• real and equal

Which of the following would be the correct factored form of a 4th degree polynomial with with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Solve the polynomial equation by factoring. Choose ALL the correct solutions from the list.
n^3+2n^2+9n+18=0

• -2

• 2

• 3

• -3

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Solve by factoring:  2x³+ 7x² + 6x = 0

• x=0, x= 3/2 and x = 2

• x=0, x = -3/2 and x = -2

• x=0, x = 6 and x = 7

• x=2, x = -6 and x = -7

b²+25b=0

• b= 0 and b = 25

• b= 0 and b= -25

• b= -5 and b= 5

• b=5 an b=-2.5

Solve the trinomial:

2x²+2x-4=0

• -1,2

• -1,-2

• 1,2

• 1,-2