Section B Section B Checkpoint

Problem 1

Solve each quadratic equation.

  1. (x+3)(5−x)=0(x+3)(5-x) = 0
  2. (2x+1)(x−6)=0(2x+1)(x-6) = 0
  3. 6=6+(x−1)(x+4)6 = 6 + (x-1)(x+4)
Show Solution
Solution
  1. x=-3x = \text{-}3 and x=5x= 5
  2. x=-12x = \text{-}\frac{1}{2} and x=6x = 6
  3. x=1x = 1 and x=-4x = \text{-}4

Problem 2

Rewrite each expression in factored form.

  1. x2+4xx^2 + 4x
  2. x2+3x−4x^2 + 3x - 4
  3. x2−81x^2 - 81
  4. 2x2+7x+32x^2 +7x+3
Show Solution
Solution
  1. x(x+4)x(x+4)
  2. (x−1)(x+4)(x-1)(x+4)
  3. (x−9)(x+9)(x-9)(x+9)
  4. (2x−1)(x+3)(2x-1)(x+3)