lesson 1

• quadratic equation? x²+ 5x + 4 = 0 8x - 3x²- 9 = 0

  x³ - 7 = 0

  4x + 6 = 10

  x² + 5x + 4 = 0
• what is the value of 'a' in the equation?

  3x² + 2x - 8 = 0

  3
• what is the quadratic term in the equation

  5x² - 7x - 6 = 0

  5

  quadratic term refers to the first term of the equation
• Addition Property of Equality (APE) states that?


  It states that adding the same number to both sides of an equation does NOT change the equality of the equation
• How many solution does the quadratic equation x² = -5 have?

  0
• Zero Product Property (ZPP) states that?


  it states that 'if the product of two numbers is zero, then either of the two is equal to zero or both numbers is equal to zero'

  it's either:

  • ONE of the two number is equal to zero. or;

  • both numbers is equal to zero
• what is the quadratic formula?

  x = -b ± √b² - 4ac

  2a

  read as:

  x is equal to negative b, positive or negative square root of b² minus 4ac over 2a
• x² + 4x + 12 = 0 is written in what?

  It is written on Standard form
• what is the value of 'a, b, and c' in the equation (x - 1)(x - 3) = 5 ?

  a = 1

  b = -4

  c = -2
• the quadratic equation

  (x + 1)² = 9 can be solved by extracting square roots? Yes or No

  Yes
• What must be considered FIRST in solving quadratic equation using quadratic formula?


  Rewrite the equation in standard form
• what are the two factors of -20 that will give a sum of 8?

  -2 and 10

  -2 × 10 = -20
• what are the roots/solution of the quadratic equation

  (5x-3)² = 49 ?

  2 and - ⅘
• which of the following are the factors of x² - x - 2 = 0 ?

  (x + 1) (x - 2) = 0
• what must be added to

  x² + 10x + __ to make it a perfect square trinomial?

  25
• one of the roots of x² + x -30 = 0 is -6 what is the other root?

  the other root is 5

  explanation:

  -6 × 5 = -30