Question

Part A: The area of a square is (9x2 - 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 (25x2 - 16y2) 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 (x3 - 7x2 - 9x + 63) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work. (5 points)

Answer 1

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Answer 2

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Answer 3

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Answer 4

MASS TAG PARTY!!!!!

Answer 5

lol

Answer 6

Before this is over i better be given a medal!

Answer 7

no one wants to help i have tagged them and like not a one showed

Answer 8

vegati ill give yu one :3

Answer 9

if you can help me

Answer 10

And ill give you one!

Answer 11

lol cools

Answer 12

MASS TAG PARTY!!!

Answer 13

sounds epic!

Answer 14

i just need some help :(

Answer 15

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

9x2,4
are both perfect squares,

the middle term is double their product

so the perfect square is

a2−2ab+b2=(a−b)2


you just need to find a and b

Answer 16

B is the difference of 2 squares

(a−b)(a+b)=a2=b2


find a and b

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

(x3−9x)−(7x2−63)


then factoring..

hope this all helps

Answer 17

@Reginaldyoung i am kind of lost here i am a bit slow as well what is A? lets start there please

Answer 18

@SouthernRebel101 By: Don, on Yahoo Answers
"Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Factoring this we get:

(4x-1)(4x-1)

So each side of this square is (4x-1)

Part B: The area of a rectangle is (81x2 - 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Factoring this we get:

(9x - 2y)(9x + 2y)

So one side is (9x - 2y) and the other is (9x + 2y)

Part C: The volume of a rectangular box is (x3 - 9x2 - 4x + 36) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work.

This one requires the Rational Root Theorem (I hope you're familiar with it). Plugging in we find that x=2 and so (x-2) is a factor.

Using Synthetic Division we get the quadratic:

x^2 - 7x - 18

And we can factor this into:

(x+2)(x-9)

So the three sides are (x+2), (x-9), and (x-2)"