Question

15. 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)
17. 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)
18. 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)
@dpasingh

Answer 1

Just those @dpasingh , and thanks so much. :))

Answer 2

x^2+4x-12 = x^2+6x-2x-12 = x(x+6)-2(x+6) = (x+6)(x-2) are the rquired dimensions.

Answer 3

Remaining will solve short while after having my dinner...

Answer 4

\[\huge x^2+2xy-48y^2 = x^2+8xy-6xy-48y^2\]
\[\huge = x(x+8y)-6y(x+8y) = (x+8y)(x-6y)\]
Hence (x+8y)(x-6y) are the required factors of the give expression

So option d. (x-6y)(x+8y) is the correct answer...

@anon99

Answer 5

Thanks and the last one? @dpasingh

Answer 6

\[\huge 24x^2-4x-8 = 4(6x^2-x-2)\]
\[\huge = 4(6x^2-4x+3x-2)\]
\[\huge = 4[2x(3x-2)+1(3x-2)] \]
\[\huge = 4(3x-2)(2x+1)\]
\[\huge = (3x-2)(8x+4)\]
Thus (3x-2)(8x+4) are the required dimensions of the given rectangular studio..

@anon99

Answer 7

THANKS SO MUCH! @dpasingh

Answer 8

did you get the answers to this test? @anon99