Solving Polynomial Equations by Factoring, Real and Imaginary

Solve the trinomial:

12x²-12x - 24 = 0

• -1,2

• 1,2

• 1,-2

• -1,-2

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

• 11

• 44

• 121

• 144

Which of the following is NOT a method in solving a quadratic equation?

• Factoring

• Quadratic Formula

• Completing the Square

• Discriminant

The zero product property can be used to solve which type of equations?

• Linear equations

• Quadratic equations

• Exponential equations

• Logarithmic equations

The Fundamental Theorem of Algebra states that a polynomial of degree n:

• Has no roots

• Has exactly n real roots

• Has at least one imaginary root

• Always has n roots, real or complex

What are the solutions? (Hint Factor and solve)

• x=0, x=-2 and x=7

• x=2 and x=7

• x=-2 and x=7

• x=0 and x=3 and x= 42

Solve by factoring: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

Solve by Factoring:
x² + 15x + 64 = 20

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

How many x-intercepts does x⁴+6x²+9= 0 have?

• 2

• 1

• 4

• None

Solve: 2x²-14x+24 = 0

• x = 4, 3

• x = 9/2, 10/4

• x = -3, -4

• x = -9/2, -10/4