Question

Part A:The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer 1

@Haseeb96

Answer 2

4x^2 -12x +9
now
4 x 9 = 36
first take out the LCM of 36
it will be
2 x 2 x 3 x 3
4x^2 -6x -6x +9
2x(2x-3) -3(2x-3)
(2x-3)(2x-3)
it is showing that
2x-3 is the length for part A

Answer 3

for part B
what you will do
16x^2 - 9y^2
you will use this formula here
x^2 -y^2 = (x-y) (x+y)
16x^2 -9y^2 = (4x -3y) (4x +3y)
this is the answer for part B

Answer 4

I hope you get what i explain here

Answer 5

I do thank you so much can you help me with one more problem

Answer 6

okay

Answer 7

An expression is shown below:
f(x) = –16x2 + 22x + 3
Part A: What are the x-intercepts of the graph of the f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answer 8

sorry idk about this one

Answer 9

x intercept is when you set y=0

Answer 10

okay but I am still confused on how you find part b and part c