Answer:
1). (x² + 5) and (x + 4)
2). (x²- 3) and (x + 11)
Step-by-step explanation:
We have to determine the factors of the given expression (x³ + 4x² + 5x + 20) by grouping method.
x³ + 4x² + 5x + 20
= x²(x + 4) + 5(x + 4)
= (x² + 5)(x + 4)
Therefore, factors of the given expression are (x² + 5) and (x + 4).
Second expression is (x³ + 11x² - 3x - 33)
Now we will find the factors of this expression by grouping.
x³ + 11x² - 3x - 33
= x²(x + 11) - 3(x + 11)
= (x² - 3)(x + 11)
Therefore, the factors of the given expression are (x² - 3) and (x + 11).
Answer:
B x^2(x+4)+5(x+4)
Step-by-step explanation:
Edge2021
Answer: He should use 14 fluid ounces of soap.
Step-by-step explanation:
1. You need to make the conversion from cups to ounces.
You know that:
Then:
2. According to the information given in the exercise, Kevin must use 4 fluid ounces of concentrated soap for every 3 cups of water or 24 fluid ounces of water.
Then, knowing that he uses 84 fluid ounces of water to make an all-purpose cleaner, you can set up the following proportion:
Where "x" is the total fluid ounces of soap that Kevin should use.
3. Solving for "x", you get this result: