The area of a rectangular room is given by the trinomial 3x^2-13x-30 what are the possible dimensions of the frame? Use factoring.

Question

asked May 11, 2020 117k views

2 Answers

NilsH · Answer 1 · 2020-05-15T05:07:21+0000

Answer:

(3x + 5) and (x - 6).

Explanation:

3x^2-13x-30

Use the 'ac' method:

a * c = 3*-30 = -90.

We need two numbers whose product is -90 and whose sum is -13. They are -18 and + 5, so we have

3x^2 - 18x + 5x - 30 Factor by grouping:

= 3x(x - 6) + 5(x - 6)

= (3x + 5)(x - 6).