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  1. The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring. (1 point)

(x-6) and (x-2)

(x+6) and (x+2)

(x-6) and (x+2)

(x+6) and (x-2)

  1. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point)
A(x+6y)(x-8y)
B(x-6y)(x-8y)
C(x+6y)(x+8y)
D(x-6y)(x+8y)
  1. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring.
A(3x-2) and (8x-4)
B(3x-2) and (8x+4)

(3x-2) and (8x-4)

(3x+2) and (8x-4)

Verified Answer :

Lampa20
  1. x^2 +4x - 12 = 0
           We need to find square roots of this equation.
           solutions are   x1 = 2 and x2 = -6
           using factoring we can write this equation in a form:
           a (x-x1) (x-x2) where  "a" is coefficient in front of x^2 ( in this case its 1)
           therefore solution is
           (x-2) and (x+6)

    17.    d) is the answer. To solve these kinds of questions just multiply factors and see if they match your expression.

    18. again, we solve equation 24x^2 -4x -8 = 0
          x1 = -1/2 and x2 = 2/3
          24(x+1/2)(x-2/3)
          8(x+1/2)    (3x-2)
          (8x + 4)*(3x-2)
    answer is b)

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