Question

Part A: The area of a square is (9x^2 - 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (3 points)

Part B: The area of a rectangle is (25x^2 - 16y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (2 points)

Part C: The volume of a rectangular box is (x^3 - 7x^2 - 9x + 63) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work. (5 points)

Answer 1

well the quadratic you have is a perfect square

you need to factor it... to find the lengths

the reason I say this is that

\[9x^2, 4\] are both perfect squares,

the middle term is double their product

so the perfect square is

\[a^2 -2ab + b^2 = (a - b)^2\]

you just need to find a and b

Answer 2

B is the difference of 2 squares

\[(a -b)(a +b) = a^2 = b^2\]

find a and b

and the last question can be do by starting with grouping in pairs

\[(x^3 - 9x) - (7x^2 - 63)\]

then factoring..

hope this all helps

Answer 3

I agree with you, Campbell...I think you explained it perfectly and I dont think I have anything to add...great job! And good luck to you baby_sb

Answer 4

I agree with you, Campbell...I think you explained it perfectly and I dont think I have anything to add...great job! And good luck to you baby_sb