Zero-Factor Property
State the general standard form of a quadratic equation.
What is "ax2 + bx + c = 0" ?
State the most common mistake students make when using the square root property.
What is "forgetting the plus or minus sign in front of the square root sign" ?
Step 3 of the Completing the Square process requires adding a number to each side of the equation. Explain how this value is determined.
What is "Take half of B, and square the result" ?
Recite the Quadratic Formula.
What is "x = - b plus or minus the square root of b2 - 4ac all over 2a" ? (To the tune of Pop Goes the Weasel)
By definition, i2 = ______
What is "-1" ?
For the given quadratic equation, list the values of A, B, and C.
2x2 + 11 = 7x
What is "A = 2, B = -7, and C = 11" ?
Solve the quadratic equation.
(x + 2)2 = 64
What is "x = 6 and x = -10" ?
Complete the square.
x2 + 10x + _______
What is "25" ?
When solving quadratic equations, there are various types of solutions that a quadratic equation can possess. State how many possible solutions a quadratic equation can have and what types of solutions these could be.
What is "One or Two possible solutions. The solutions could be real numbers or complex numbers."
Simplify the radical.
Square root of -43
What is "Square root of 43 i" ?
Factor the quadratic expression.
x2 + 13x - 48
What is "(x - 3)(x + 16)" ?
Solve the quadratic equation.
3(x - 5)2 + 1 = 16
What is "x = 5 plus or minus the square root of 5" ?
Complete the square.
x2 - 3x + _______
What is "9/4" ?
Solve the quadratic equation.
x2 -2x - 24 = 0
What is "x = -6 and x = -4" ?
Simplify.
(-4 + 7i) - (5 - 13i)
What is "-9 + 20i" ?
Solve the quadratic equation by factoring.
x2 - 21x + 80 = 0
What is "x = 5 and x = 16" ?
Solve the quadratic equation.
2(x + 7)2 - 5 = 31
What is "x = -7 plus or minus 3 square root of 2" ?
Solve the quadratic equation by completing the square.
x2 + 8x + 15 = 0
What is "x = -3 and x = -5" ?
Solve the quadratic equation.
x2 = 20 - 4x
What is "x = -2 plus or minus 2 square root of 6" ?
Simplify.
(-3 - i)2
What is "8 + 6i" ?
Solve the quadratic equation by factoring.
2x2 + 16x + 30 = 0
What is "x = -3 and x = -5" ?
Solve the quadratic equation.
5(x - 3)2 + 2 = 51
What is "x = 3 plus or minus 7 square root of 5 divided by 5" ?
Solve the quadratic equation by completing the square.
x2 + 9x + 2 = 0
What is "x = -9/2 plus or minus the square root of 73/2" ?
Solve the quadratic equation.
6x2 + 2x + 5 = 0
What is "x = -1 plus or minus i square root of 29 all divided by 6" ?
Simplify.
(3 + i) / 2i
What is "1/2 - 3/2 i" ?