The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
<h3>Area of a rectangle</h3>
Givene the dimensiion of Philip and Laura's pool as:
Length = (x - 5)
Width = (3x + 2)
Given the area expressed as:
f(x) = (x - 5)(3x + 2)feet
Taking the product will give:
f(x) = 3x^2 + 2x -15x - 10
f(x) = 3x^2 - 13x - 10
Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
Learn more on area of rectangle here: brainly.com/question/25292087
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative
(8 + [7+1] 2 ÷ 4 × 1) ÷ 2^4
Let's focus on what's in parentheses first.
8 + 8 × 2 ÷ 4 × 1
8 + 16 ÷ 4 × 1
8 + 4 × 1
8 + 4
12
Now, to what is outside the parentheses:
Because of the way it is written, you will do 12 ÷ 2 first.
12 ÷ 2^4
6^4
Answer: 1296
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