1The area of a rectangular cookie sheet is 8x2 26x 15 The wi

1.The area of a rectangular cookie sheet is 8x^2 +26x +15. The width of the cookie sheet is 2x+5. what is the length of the cookie sheet?

2. The distance a train has traveled is 6x^2-23x+20. The trains average speed is 3x-4. How long has the train been traveling?

Solution

1)
let length be L
Then,
length * width = area
L* (2x+5) = 8x^2 + 26x + 15
L = (8x^2 + 26x + 15)/(2x+5)
= (8x^2 + 20x + 6x + 15)/(2x+5)
= (4x(2x+5) + 3(2x + 5))/(2x+5)
= (4x+3)(2x + 5)/(2x+5)
= 4x+3
Answer: 4x+3

Only 1 question at a time please