The polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as <u>p(x) = (x + 5)(x + 1)(x - 1)</u>.
The given polynomial to us is p(x) = x³ + 5x² - x - 5.
We are asked to factor the polynomial by grouping.
We can do this by following these steps:
- p(x) = x³ + 5x² - x - 5.
- We group the first two terms and the next two terms to get p(x) = (x³ + 5x²) + (-x -5).
- Now, we take x² common from the first group and -1 common from the second group to get p(x) = x²(x + 5) -1(x + 5)
- Now, we take (x + 5) common from both the terms to get, p(x) = (x + 5)(x² - 1).
- Now, we right (x² - 1) as (x + 1)(x - 1). to get the polynomial as, p(x) = (x + 5)(x + 1)(x - 1).
Therefore, the polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as <u>p(x) = (x + 5)(x + 1)(x - 1)</u>.
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Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
Answer:
The length of arc is (7/12)π cm.
Step-by-step explanation:
Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :
Step-by-step explanation:
If 20 labourers=10 days
x labourers = 25 days
10x= 25×20
Cancelling out by 10 on both sides
Therefore, it takes 50 labourers to complete the work at the same rate in 25 days.
Answer:
A
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3x+4=−2x+0
−3x+4=(−2x)+(0)(Combine Like Terms)
−3x+4=−2x
−3x+4=−2x
Step 2: Add 2x to both sides.
−3x+4+2x=−2x+2x
−x+4=0
Step 3: Subtract 4 from both sides.
−x+4−4=0−4
−x=−4
Step 4: Divide both sides by -1.
−x
−1
=
−4
−1
x=4
